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70216128 = 2632139877
BaseRepresentation
bin1000010111101…
…10100111000000
311220010100102100
410023312213000
5120433404003
610544550400
71511553513
oct413664700
9156110370
1070216128
11366a9464
121b622400
1311716008
14947ad7a
15626eba3
hex42f69c0

70216128 has 84 divisors (see below), whose sum is σ = 202940920. Its totient is φ = 23210496.

The previous prime is 70216127. The next prime is 70216169. The reversal of 70216128 is 82161207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70216123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79626 + ... + 80502.

Almost surely, 270216128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70216128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101470460).

70216128 is an abundant number, since it is smaller than the sum of its proper divisors (132724792).

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

70216128 is a wasteful number, since it uses less digits than its factorization.

70216128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 70216128 is about 8379.5064293788. The cubic root of 70216128 is about 412.5522490290.

The spelling of 70216128 in words is "seventy million, two hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 139 144 192 278 288 417 556 576 834 877 1112 1251 1668 1754 2224 2502 2631 3336 3508 4448 5004 5262 6672 7016 7893 8896 10008 10524 13344 14032 15786 20016 21048 26688 28064 31572 40032 42096 56128 63144 80064 84192 121903 126288 168384 243806 252576 365709 487612 505152 731418 975224 1097127 1462836 1950448 2194254 2925672 3900896 4388508 5851344 7801792 8777016 11702688 17554032 23405376 35108064 70216128