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10057212 = 223211109233
BaseRepresentation
bin100110010111…
…010111111100
3200220221220100
4212113113330
510033312322
6555321100
7151325214
oct46272774
920827810
1010057212
11574a150
123450190
132111919
14149b244
15d39dac
hex9975fc

10057212 has 72 divisors (see below), whose sum is σ = 28108080. Its totient is φ = 3006720.

The previous prime is 10057207. The next prime is 10057231. The reversal of 10057212 is 21275001.

It is a super-2 number, since 2×100572122 = 202295026425888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43048 + ... + 43280.

It is an arithmetic number, because the mean of its divisors is an integer number (390390).

Almost surely, 210057212 is an apocalyptic number.

10057212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10057212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14054040).

10057212 is an abundant number, since it is smaller than the sum of its proper divisors (18050868).

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

10057212 is a wasteful number, since it uses less digits than its factorization.

10057212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10057212 is about 3171.3107700129. The cubic root of 10057212 is about 215.8535529954.

The spelling of 10057212 in words is "ten million, fifty-seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 109 132 198 218 233 327 396 436 466 654 699 932 981 1199 1308 1398 1962 2097 2398 2563 2796 3597 3924 4194 4796 5126 7194 7689 8388 10252 10791 14388 15378 21582 23067 25397 30756 43164 46134 50794 76191 92268 101588 152382 228573 279367 304764 457146 558734 838101 914292 1117468 1676202 2514303 3352404 5028606 10057212