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12905130 = 235728779
BaseRepresentation
bin110001001110…
…101010101010
3220021122111210
4301032222222
511300431010
61140333550
7214456200
oct61165252
926248453
1012905130
1173148a7
1243a42b6
13289ac94
1419dd070
1511edb20
hexc4eaaa

12905130 has 48 divisors (see below), whose sum is σ = 36033120. Its totient is φ = 2949408.

The previous prime is 12905111. The next prime is 12905131. The reversal of 12905130 is 3150921.

12905130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12905097 and 12905106.

It is not an unprimeable number, because it can be changed into a prime (12905131) 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, 2920 + ... + 5859.

It is an arithmetic number, because the mean of its divisors is an integer number (750690).

Almost surely, 212905130 is an apocalyptic number.

12905130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12905130 is an abundant number, since it is smaller than the sum of its proper divisors (23127990).

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

12905130 is a wasteful number, since it uses less digits than its factorization.

12905130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8803 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 12905130 is about 3592.3710832819. The cubic root of 12905130 is about 234.5600944967.

The spelling of 12905130 in words is "twelve million, nine hundred five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 8779 17558 26337 43895 52674 61453 87790 122906 131685 184359 263370 307265 368718 430171 614530 860342 921795 1290513 1843590 2150855 2581026 4301710 6452565 12905130