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12657190 = 2572131987
BaseRepresentation
bin110000010010…
…001000100110
3212211001101211
4300102020212
511220012230
61131142034
7212404300
oct60221046
925731354
1012657190
117165597
1242a491a
132812180
141976970
1511a042a
hexc12226

12657190 has 48 divisors (see below), whose sum is σ = 28555632. Its totient is φ = 4003776.

The previous prime is 12657187. The next prime is 12657191. The reversal of 12657190 is 9175621.

It is a super-4 number, since 4×126571904 (a number of 30 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12657191) 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, 5377 + ... + 7363.

It is an arithmetic number, because the mean of its divisors is an integer number (594909).

Almost surely, 212657190 is an apocalyptic number.

12657190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12657190 is an abundant number, since it is smaller than the sum of its proper divisors (15898442).

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

12657190 is a wasteful number, since it uses less digits than its factorization.

12657190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 12657190 is about 3557.6944781698. The cubic root of 12657190 is about 233.0482072823.

The spelling of 12657190 in words is "twelve million, six hundred fifty-seven thousand, one hundred ninety".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 455 490 637 910 1274 1987 3185 3974 6370 9935 13909 19870 25831 27818 51662 69545 97363 129155 139090 180817 194726 258310 361634 486815 904085 973630 1265719 1808170 2531438 6328595 12657190