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64047240 = 23335311913
BaseRepresentation
bin1111010001010…
…0100010001000
311110111221022000
43310110202020
5112344002430
610204431000
71405251435
oct364244210
9143457260
1064047240
1133175704
1219548460
131036619a
148712b8c
155951e60
hex3d14888

64047240 has 128 divisors (see below), whose sum is σ = 220492800. Its totient is φ = 16519680.

The previous prime is 64047239. The next prime is 64047241. The reversal of 64047240 is 4274046.

It is an interprime number because it is at equal distance from previous prime (64047239) and next prime (64047241).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (64047241) 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, 32524 + ... + 34436.

It is an arithmetic number, because the mean of its divisors is an integer number (1722600).

Almost surely, 264047240 is an apocalyptic number.

64047240 is a gapful number since it is divisible by the number (60) 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 64047240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110246400).

64047240 is an abundant number, since it is smaller than the sum of its proper divisors (156445560).

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

64047240 is a wasteful number, since it uses less digits than its factorization.

64047240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 64047240 is about 8002.9519553725. The cubic root of 64047240 is about 400.0983924620.

The spelling of 64047240 in words is "sixty-four million, forty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 1913 2232 2790 3348 3720 3826 4185 5580 5739 6696 7652 8370 9565 11160 11478 15304 16740 17217 19130 22956 28695 33480 34434 38260 45912 51651 57390 59303 68868 76520 86085 103302 114780 118606 137736 172170 177909 206604 229560 237212 258255 296515 344340 355818 413208 474424 516510 533727 593030 688680 711636 889545 1033020 1067454 1186060 1423272 1601181 1779090 2066040 2134908 2372120 2668635 3202362 3558180 4269816 5337270 6404724 7116360 8005905 10674540 12809448 16011810 21349080 32023620 64047240