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12962130 = 2352947317
BaseRepresentation
bin110001011100…
…100101010010
3220101112200220
4301130211102
511304242010
61141453510
7215114316
oct61344522
926345626
1012962130
117353705
124411296
1328babcc
141a15b46
151210970
hexc5c952

12962130 has 64 divisors (see below), whose sum is σ = 32970240. Its totient is φ = 3256064.

The previous prime is 12962119. The next prime is 12962137. The reversal of 12962130 is 3126921.

It is a self number, because there is not a number n which added to its sum of digits gives 12962130.

It is not an unprimeable number, because it can be changed into a prime (12962137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40732 + ... + 41048.

It is an arithmetic number, because the mean of its divisors is an integer number (515160).

Almost surely, 212962130 is an apocalyptic number.

12962130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12962130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16485120).

12962130 is an abundant number, since it is smaller than the sum of its proper divisors (20008110).

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

12962130 is a wasteful number, since it uses less digits than its factorization.

12962130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 12962130 is about 3600.2958211791. The cubic root of 12962130 is about 234.9049260802.

The spelling of 12962130 in words is "twelve million, nine hundred sixty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 47 58 87 94 141 145 174 235 282 290 317 435 470 634 705 870 951 1363 1410 1585 1902 2726 3170 4089 4755 6815 8178 9193 9510 13630 14899 18386 20445 27579 29798 40890 44697 45965 55158 74495 89394 91930 137895 148990 223485 275790 432071 446970 864142 1296213 2160355 2592426 4320710 6481065 12962130