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70042032 = 24324779131
BaseRepresentation
bin1000010110011…
…00000110110000
311212210111121100
410023030012300
5120412321112
610541124400
71510230114
oct413140660
9155714540
1070042032
113659a685
121b559700
13116849b8
149433744
1562382dc
hex42cc1b0

70042032 has 120 divisors (see below), whose sum is σ = 204272640. Its totient is φ = 22389120.

The previous prime is 70042013. The next prime is 70042039. The reversal of 70042032 is 23024007.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 70041996 and 70042014.

It is not an unprimeable number, because it can be changed into a prime (70042039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534607 + ... + 534737.

It is an arithmetic number, because the mean of its divisors is an integer number (1702272).

Almost surely, 270042032 is an apocalyptic number.

70042032 is a gapful number since it is divisible by the number (72) 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 70042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102136320).

70042032 is an abundant number, since it is smaller than the sum of its proper divisors (134230608).

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

70042032 is a wasteful number, since it uses less digits than its factorization.

70042032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 70042032 is about 8369.1117808284. Note that the first 3 decimals coincide. The cubic root of 70042032 is about 412.2110019826.

Adding to 70042032 its reverse (23024007), we get a palindrome (93066039).

The spelling of 70042032 in words is "seventy million, forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 79 94 131 141 144 158 188 237 262 282 316 376 393 423 474 524 564 632 711 752 786 846 948 1048 1128 1179 1264 1422 1572 1692 1896 2096 2256 2358 2844 3144 3384 3713 3792 4716 5688 6157 6288 6768 7426 9432 10349 11139 11376 12314 14852 18471 18864 20698 22278 24628 29704 31047 33417 36942 41396 44556 49256 55413 59408 62094 66834 73884 82792 89112 93141 98512 110826 124188 133668 147768 165584 178224 186282 221652 248376 267336 295536 372564 443304 486403 496752 534672 745128 886608 972806 1459209 1490256 1945612 2918418 3891224 4377627 5836836 7782448 8755254 11673672 17510508 23347344 35021016 70042032