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70459136 = 2811131191
BaseRepresentation
bin1000011001100…
…01111100000000
311220120200202122
410030301330000
5121014143021
610554103412
71513615136
oct414617400
9156520678
1070459136
1136854aa0
121b71ab68
131179c7c7
149501756
1562bbbab
hex4331f00

70459136 has 72 divisors (see below), whose sum is σ = 155409408. Its totient is φ = 31616000.

The previous prime is 70459127. The next prime is 70459139. The reversal of 70459136 is 63195407.

It is a junction number, because it is equal to n+sod(n) for n = 70459096 and 70459105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70459139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368801 + ... + 368991.

It is an arithmetic number, because the mean of its divisors is an integer number (2158464).

Almost surely, 270459136 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 70459136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77704704).

70459136 is an abundant number, since it is smaller than the sum of its proper divisors (84950272).

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

70459136 is a wasteful number, since it uses less digits than its factorization.

70459136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 70459136 is about 8393.9940433622. The cubic root of 70459136 is about 413.0276291983.

The spelling of 70459136 in words is "seventy million, four hundred fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 131 176 191 256 262 352 382 524 704 764 1048 1408 1441 1528 2096 2101 2816 2882 3056 4192 4202 5764 6112 8384 8404 11528 12224 16768 16808 23056 24448 25021 33536 33616 46112 48896 50042 67232 92224 100084 134464 184448 200168 268928 275231 368896 400336 537856 550462 800672 1100924 1601344 2201848 3202688 4403696 6405376 8807392 17614784 35229568 70459136