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12904440 = 2335532029
BaseRepresentation
bin110001001110…
…011111111000
3220021121120020
4301032133320
511300420230
61140330440
7214454163
oct61163770
926247506
1012904440
11731432a
1243a3a20
13289a883
1419dcada
1511ed810
hexc4e7f8

12904440 has 64 divisors (see below), whose sum is σ = 39463200. Its totient is φ = 3374592.

The previous prime is 12904399. The next prime is 12904447. The reversal of 12904440 is 4440921.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12904440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12904447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5346 + ... + 7374.

Almost surely, 212904440 is an apocalyptic number.

12904440 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 12904440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19731600).

12904440 is an abundant number, since it is smaller than the sum of its proper divisors (26558760).

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

12904440 is a wasteful number, since it uses less digits than its factorization.

12904440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12904440 is about 3592.2750451490. The cubic root of 12904440 is about 234.5559140055. Note that the first 3 decimals are identical.

The spelling of 12904440 in words is "twelve million, nine hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2029 2120 3180 4058 6087 6360 8116 10145 12174 16232 20290 24348 30435 40580 48696 60870 81160 107537 121740 215074 243480 322611 430148 537685 645222 860296 1075370 1290444 1613055 2150740 2580888 3226110 4301480 6452220 12904440