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10057896 = 2332294817
BaseRepresentation
bin100110010111…
…100010101000
3200220222211200
4212113202220
510033323041
6555324200
7151330212
oct46274250
920828750
1010057896
11574a712
123450660
132112024
14149b5b2
15d3a1b6
hex9978a8

10057896 has 48 divisors (see below), whose sum is σ = 28185300. Its totient is φ = 3236352.

The previous prime is 10057889. The next prime is 10057913. The reversal of 10057896 is 69875001.

It can be written as a sum of positive squares in 2 ways, for example, as 9548100 + 509796 = 3090^2 + 714^2 .

It is a super-2 number, since 2×100578962 = 202322543893632, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10057896.

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 11 ways as a sum of consecutive naturals, for example, 321 + ... + 4496.

Almost surely, 210057896 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 10057896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14092650).

10057896 is an abundant number, since it is smaller than the sum of its proper divisors (18127404).

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

10057896 is a wasteful number, since it uses less digits than its factorization.

10057896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4858 (or 4851 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 10057896 is about 3171.4186100230. The cubic root of 10057896 is about 215.8584463490.

The spelling of 10057896 in words is "ten million, fifty-seven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 4817 9634 14451 19268 28902 38536 43353 57804 86706 115608 139693 173412 279386 346824 419079 558772 838158 1117544 1257237 1676316 2514474 3352632 5028948 10057896