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10657130 = 25111741139
BaseRepresentation
bin101000101001…
…110101101010
3202001102211112
4220221311222
510212012010
61020230322
7156404231
oct50516552
922042745
1010657130
116019950
12369b3a2
1322919c3
1415b5b18
15e07a05
hexa29d6a

10657130 has 64 divisors (see below), whose sum is σ = 22861440. Its totient is φ = 3532800.

The previous prime is 10657121. The next prime is 10657133. The reversal of 10657130 is 3175601.

10657130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106571302 = 227148839673800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10657096 and 10657105.

It is not an unprimeable number, because it can be changed into a prime (10657133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76601 + ... + 76739.

It is an arithmetic number, because the mean of its divisors is an integer number (357210).

Almost surely, 210657130 is an apocalyptic number.

10657130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10657130 is an abundant number, since it is smaller than the sum of its proper divisors (12204310).

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

10657130 is a wasteful number, since it uses less digits than its factorization.

10657130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 10657130 is about 3264.5259992838. The cubic root of 10657130 is about 220.0628608249.

It can be divided in two parts, 106571 and 30, that added together give a palindrome (106601).

The spelling of 10657130 in words is "ten million, six hundred fifty-seven thousand, one hundred thirty".

Divisors: 1 2 5 10 11 17 22 34 41 55 82 85 110 139 170 187 205 278 374 410 451 695 697 902 935 1390 1394 1529 1870 2255 2363 3058 3485 4510 4726 5699 6970 7645 7667 11398 11815 15290 15334 23630 25993 28495 38335 51986 56990 62689 76670 96883 125378 129965 193766 259930 313445 484415 626890 968830 1065713 2131426 5328565 10657130