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4070708640 = 253256914091
BaseRepresentation
bin1111001010100010…
…0001010110100000
3101111200202102110200
43302220201112200
531314100134030
61511533225200
7202606311135
oct36250412640
911450672420
104070708640
1117a9899719
12957332200
134cb47a94b
142a88bc58c
1518c590d60
hexf2a215a0

4070708640 has 144 divisors (see below), whose sum is σ = 13914796896. Its totient is φ = 1083686400.

The previous prime is 4070708617. The next prime is 4070708651. The reversal of 4070708640 is 468070704.

It is a happy number.

4070708640 is a `hidden beast` number, since 4 + 0 + 7 + 0 + 7 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 4070708595 and 4070708604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 992995 + ... + 997085.

It is an arithmetic number, because the mean of its divisors is an integer number (96630534).

Almost surely, 24070708640 is an apocalyptic number.

4070708640 is a gapful number since it is divisible by the number (40) 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 4070708640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6957398448).

4070708640 is an abundant number, since it is smaller than the sum of its proper divisors (9844088256).

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

4070708640 is a wasteful number, since it uses less digits than its factorization.

4070708640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4803 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4070708640 is about 63802.1052944180. The cubic root of 4070708640 is about 1596.7000528136.

The spelling of 4070708640 in words is "four billion, seventy million, seven hundred eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 691 720 1382 1440 2073 2764 3455 4091 4146 5528 6219 6910 8182 8292 10365 11056 12273 12438 13820 16364 16584 20455 20730 22112 24546 24876 27640 31095 32728 33168 36819 40910 41460 49092 49752 55280 61365 62190 65456 66336 73638 81820 82920 98184 99504 110560 122730 124380 130912 147276 163640 165840 184095 196368 199008 245460 248760 294552 327280 331680 368190 392736 490920 497520 589104 654560 736380 981840 995040 1178208 1472760 1963680 2826881 2945520 5653762 5891040 8480643 11307524 14134405 16961286 22615048 25441929 28268810 33922572 42403215 45230096 50883858 56537620 67845144 84806430 90460192 101767716 113075240 127209645 135690288 169612860 203535432 226150480 254419290 271380576 339225720 407070864 452300960 508838580 678451440 814141728 1017677160 1356902880 2035354320 4070708640