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70107008 = 2737113131
BaseRepresentation
bin1000010110110…
…11111110000000
311212220210201212
410023123332000
5120421411013
610542345252
71510620416
oct413337600
9155823655
1070107008
1136634484
121b58b228
13116a844a
14944d2b6
15624c6a8
hex42dbf80

70107008 has 64 divisors (see below), whose sum is σ = 145815120. Its totient is φ = 33546240.

The previous prime is 70106977. The next prime is 70107019. The reversal of 70107008 is 80070107.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 535103 + ... + 535233.

Almost surely, 270107008 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 70107008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72907560).

70107008 is an abundant number, since it is smaller than the sum of its proper divisors (75708112).

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

70107008 is a wasteful number, since it uses less digits than its factorization.

70107008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 70107008 is about 8372.9927743908. The cubic root of 70107008 is about 412.3384280598.

The spelling of 70107008 in words is "seventy million, one hundred seven thousand, eight".

Divisors: 1 2 4 8 16 32 37 64 74 113 128 131 148 226 262 296 452 524 592 904 1048 1184 1808 2096 2368 3616 4181 4192 4736 4847 7232 8362 8384 9694 14464 14803 16724 16768 19388 29606 33448 38776 59212 66896 77552 118424 133792 155104 236848 267584 310208 473696 535168 547711 620416 947392 1095422 1894784 2190844 4381688 8763376 17526752 35053504 70107008