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12604920 = 2335234567
BaseRepresentation
bin110000000101…
…010111111000
3212201101200220
4300011113320
511211324140
61130100040
7212066016
oct60052770
925641626
1012604920
11712a299
12427a620
1327c4443
1419618b6
15118ebd0
hexc055f8

12604920 has 64 divisors (see below), whose sum is σ = 39467520. Its totient is φ = 3214464.

The previous prime is 12604919. The next prime is 12604931. The reversal of 12604920 is 2940621.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 477 + ... + 5043.

It is an arithmetic number, because the mean of its divisors is an integer number (616680).

Almost surely, 212604920 is an apocalyptic number.

12604920 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 12604920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19733760).

12604920 is an abundant number, since it is smaller than the sum of its proper divisors (26862600).

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

12604920 is a wasteful number, since it uses less digits than its factorization.

12604920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12604920 is about 3550.3408287093. The cubic root of 12604920 is about 232.7269607077.

The spelling of 12604920 in words is "twelve million, six hundred four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 4567 9134 13701 18268 22835 27402 36536 45670 54804 68505 91340 105041 109608 137010 182680 210082 274020 315123 420164 525205 548040 630246 840328 1050410 1260492 1575615 2100820 2520984 3151230 4201640 6302460 12604920