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10557140 = 22511471021
BaseRepresentation
bin101000010001…
…011011010100
3201212100200012
4220101123110
510200312030
61014135352
7155506556
oct50213324
921770605
1010557140
115a60810
123651558
132258339
14158b4d6
15dd8095
hexa116d4

10557140 has 48 divisors (see below), whose sum is σ = 24724224. Its totient is φ = 3753600.

The previous prime is 10557139. The next prime is 10557163. The reversal of 10557140 is 4175501.

It is a super-2 number, since 2×105571402 = 222906409959200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9830 + ... + 10850.

It is an arithmetic number, because the mean of its divisors is an integer number (515088).

Almost surely, 210557140 is an apocalyptic number.

10557140 is a gapful number since it is divisible by the number (10) 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 10557140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362112).

10557140 is an abundant number, since it is smaller than the sum of its proper divisors (14167084).

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

10557140 is a wasteful number, since it uses less digits than its factorization.

10557140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 10557140 is about 3249.1752799749. The cubic root of 10557140 is about 219.3724540631.

The spelling of 10557140 in words is "ten million, five hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1021 1034 2042 2068 2585 4084 5105 5170 10210 10340 11231 20420 22462 44924 47987 56155 95974 112310 191948 224620 239935 479870 527857 959740 1055714 2111428 2639285 5278570 10557140