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70134912 = 2732232647
BaseRepresentation
bin1000010111000…
…10110010000000
311212222020000100
410023202302000
5120423304122
610543122400
71511064651
oct413426200
9155866010
1070134912
1136653441
121b5a3400
13116b8063
149459528
156255aac
hex42e2c80

70134912 has 96 divisors (see below), whose sum is σ = 210674880. Its totient is φ = 22353408.

The previous prime is 70134907. The next prime is 70134913. The reversal of 70134912 is 21943107.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (70134913) 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, 25173 + ... + 27819.

It is an arithmetic number, because the mean of its divisors is an integer number (2194530).

Almost surely, 270134912 is an apocalyptic number.

70134912 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 70134912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105337440).

70134912 is an abundant number, since it is smaller than the sum of its proper divisors (140539968).

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

70134912 is a wasteful number, since it uses less digits than its factorization.

70134912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 70134912 is about 8374.6589184277. The cubic root of 70134912 is about 412.3931271341.

The spelling of 70134912 in words is "seventy million, one hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2647 2944 3312 4416 5294 6624 7941 8832 10588 13248 15882 21176 23823 26496 31764 42352 47646 60881 63528 84704 95292 121762 127056 169408 182643 190584 243524 254112 338816 365286 381168 487048 508224 547929 730572 762336 974096 1016448 1095858 1461144 1524672 1948192 2191716 2922288 3049344 3896384 4383432 5844576 7792768 8766864 11689152 17533728 23378304 35067456 70134912