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70368064 = 2613831019
BaseRepresentation
bin1000011000110…
…11101101000000
311220102001211121
410030123231000
5121003234224
610552122024
71513055464
oct414335500
9156361747
1070368064
11367a2628
121b696314
131176a210
1494ba4a4
15629ebe4
hex431bb40

70368064 has 56 divisors (see below), whose sum is σ = 152339040. Its totient is φ = 32054784.

The previous prime is 70368059. The next prime is 70368073. The reversal of 70368064 is 46086307.

It is a super-2 number, since 2×703680642 = 9903328862216192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68547 + ... + 69565.

It is an arithmetic number, because the mean of its divisors is an integer number (2720340).

Almost surely, 270368064 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 70368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76169520).

70368064 is an abundant number, since it is smaller than the sum of its proper divisors (81970976).

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

70368064 is a wasteful number, since it uses less digits than its factorization.

70368064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 70368064 is about 8388.5674581540. The cubic root of 70368064 is about 412.8495994325.

The spelling of 70368064 in words is "seventy million, three hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 83 104 166 208 332 416 664 832 1019 1079 1328 2038 2158 2656 4076 4316 5312 8152 8632 13247 16304 17264 26494 32608 34528 52988 65216 69056 84577 105976 169154 211952 338308 423904 676616 847808 1099501 1353232 2199002 2706464 4398004 5412928 8796008 17592016 35184032 70368064