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2062970640 = 243353130809
BaseRepresentation
bin111101011110110…
…0110111100010000
312022202211202201000
41322331212330100
513211110030030
6540412342000
7102056650443
oct17275467420
95282752630
102062970640
11969547415
12496a74900
1326b5244b3
14157dab65a
15c11a0860
hex7af66f10

2062970640 has 160 divisors (see below), whose sum is σ = 7335244800. Its totient is φ = 532362240.

The previous prime is 2062970639. The next prime is 2062970641. The reversal of 2062970640 is 460792602.

It is a happy number.

2062970640 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 9 + 7 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2062970639) and next prime (2062970641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2062970595 and 2062970604.

It is not an unprimeable number, because it can be changed into a prime (2062970641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51556 + ... + 82364.

It is an arithmetic number, because the mean of its divisors is an integer number (45845280).

Almost surely, 22062970640 is an apocalyptic number.

2062970640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2062970640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667622400).

2062970640 is an abundant number, since it is smaller than the sum of its proper divisors (5272274160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2062970640 is a wasteful number, since it uses less digits than its factorization.

2062970640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30862 (or 30850 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2062970640 is about 45419.9365917655. The cubic root of 2062970640 is about 1273.0076565073.

The spelling of 2062970640 in words is "two billion, sixty-two million, nine hundred seventy thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 1080 1116 1240 1395 1488 1674 1860 2160 2232 2480 2790 3348 3720 4185 4464 5580 6696 7440 8370 11160 13392 16740 22320 30809 33480 61618 66960 92427 123236 154045 184854 246472 277281 308090 369708 462135 492944 554562 616180 739416 831843 924270 955079 1109124 1232360 1386405 1478832 1663686 1848540 1910158 2218248 2464720 2772810 2865237 3327372 3697080 3820316 4159215 4436496 4775395 5545620 5730474 6654744 7394160 7640632 8318430 8595711 9550790 11091240 11460948 13309488 14326185 15281264 16636860 17191422 19101580 22182480 22921896 25787133 28652370 33273720 34382844 38203160 42978555 45843792 51574266 57304740 66547440 68765688 76406320 85957110 103148532 114609480 128935665 137531376 171914220 206297064 229218960 257871330 343828440 412594128 515742660 687656880 1031485320 2062970640