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270085504 = 2713237057
BaseRepresentation
bin10000000110010…
…010110110000000
3200211012202122211
4100012102312000
51023120214004
642444511504
76456455203
oct2006226600
9624182584
10270085504
11129502267
127654b594
1343c55a10
1427c2793a
1518aa0504
hex10192d80

270085504 has 64 divisors (see below), whose sum is σ = 604729440. Its totient is φ = 119218176.

The previous prime is 270085493. The next prime is 270085507. The reversal of 270085504 is 405580072.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270085507) 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, 34744 + ... + 41800.

Almost surely, 2270085504 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 270085504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302364720).

270085504 is an abundant number, since it is smaller than the sum of its proper divisors (334643936).

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

270085504 is a wasteful number, since it uses less digits than its factorization.

270085504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7107 (or 7095 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 270085504 is about 16434.2783230661. The cubic root of 270085504 is about 646.3986267657.

The spelling of 270085504 in words is "two hundred seventy million, eighty-five thousand, five hundred four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 299 368 416 598 736 832 1196 1472 1664 2392 2944 4784 7057 9568 14114 19136 28228 38272 56456 91741 112912 162311 183482 225824 324622 366964 451648 649244 733928 903296 1298488 1467856 2110043 2596976 2935712 4220086 5193952 5871424 8440172 10387904 11742848 16880344 20775808 33760688 67521376 135042752 270085504