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12904840 = 2351322383
BaseRepresentation
bin110001001110…
…100110001000
3220021122010001
4301032212020
511300423330
61140332344
7214455304
oct61164610
926248101
1012904840
117314663
1243a40b4
13289ab00
1419dcd04
1511ed9ca
hexc4e988

12904840 has 96 divisors (see below), whose sum is σ = 33203520. Its totient is φ = 4502784.

The previous prime is 12904813. The next prime is 12904841. The reversal of 12904840 is 4840921.

It is a junction number, because it is equal to n+sod(n) for n = 12904799 and 12904808.

It is not an unprimeable number, because it can be changed into a prime (12904841) 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, 155439 + ... + 155521.

It is an arithmetic number, because the mean of its divisors is an integer number (345870).

Almost surely, 212904840 is an apocalyptic number.

12904840 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 12904840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601760).

12904840 is an abundant number, since it is smaller than the sum of its proper divisors (20298680).

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

12904840 is a wasteful number, since it uses less digits than its factorization.

12904840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 12904840 is about 3592.3307197417. The cubic root of 12904840 is about 234.5583374968.

The spelling of 12904840 in words is "twelve million, nine hundred four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 83 92 104 115 130 166 169 184 230 260 299 332 338 415 460 520 598 664 676 830 845 920 1079 1196 1352 1495 1660 1690 1909 2158 2392 2990 3320 3380 3818 3887 4316 5395 5980 6760 7636 7774 8632 9545 10790 11960 14027 15272 15548 19090 19435 21580 24817 28054 31096 38180 38870 43160 49634 56108 70135 76360 77740 99268 112216 124085 140270 155480 198536 248170 280540 322621 496340 561080 645242 992680 1290484 1613105 2580968 3226210 6452420 12904840