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10057356 = 2232437389
BaseRepresentation
bin100110010111…
…011010001100
3200220222002200
4212113122030
510033313411
6555321500
7151325511
oct46273214
920828080
1010057356
11574a271
123450290
1321119ca
14149b308
15d39e56
hex99768c

10057356 has 72 divisors (see below), whose sum is σ = 26666640. Its totient is φ = 3193344.

The previous prime is 10057349. The next prime is 10057357. The reversal of 10057356 is 65375001.

10057356 = T488 + T489 + ... + T560.

10057356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10057357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112960 + ... + 113048.

It is an arithmetic number, because the mean of its divisors is an integer number (370370).

Almost surely, 210057356 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 10057356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13333320).

10057356 is an abundant number, since it is smaller than the sum of its proper divisors (16609284).

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

10057356 is a wasteful number, since it uses less digits than its factorization.

10057356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 10057356 is about 3171.3334734777. Note that the first 3 decimals coincide. The cubic root of 10057356 is about 215.8545831936.

The spelling of 10057356 in words is "ten million, fifty-seven thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 73 86 89 129 146 172 178 219 258 267 292 356 387 438 516 534 657 774 801 876 1068 1314 1548 1602 2628 3139 3204 3827 6278 6497 7654 9417 11481 12556 12994 15308 18834 19491 22962 25988 28251 34443 37668 38982 45924 56502 58473 68886 77964 113004 116946 137772 233892 279371 558742 838113 1117484 1676226 2514339 3352452 5028678 10057356