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12704920 = 2351973229
BaseRepresentation
bin110000011101…
…110010011000
3212220110212121
4300131302120
511223024140
61132151024
7212663404
oct60356230
925813777
1012704920
117198438
124308474
13282ab07
14198a104
1511ae64a
hexc1dc98

12704920 has 64 divisors (see below), whose sum is σ = 30636000. Its totient is φ = 4727808.

The previous prime is 12704917. The next prime is 12704921. The reversal of 12704920 is 2940721.

It is a super-2 number, since 2×127049202 = 322829984412800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12704921) 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 15 ways as a sum of consecutive naturals, for example, 55366 + ... + 55594.

Almost surely, 212704920 is an apocalyptic number.

12704920 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 12704920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15318000).

12704920 is an abundant number, since it is smaller than the sum of its proper divisors (17931080).

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

12704920 is a wasteful number, since it uses less digits than its factorization.

12704920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 12704920 is about 3564.3961620448. The cubic root of 12704920 is about 233.3407798077.

The spelling of 12704920 in words is "twelve million, seven hundred four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 73 76 95 146 152 190 229 292 365 380 458 584 730 760 916 1145 1387 1460 1832 2290 2774 2920 4351 4580 5548 6935 8702 9160 11096 13870 16717 17404 21755 27740 33434 34808 43510 55480 66868 83585 87020 133736 167170 174040 317623 334340 635246 668680 1270492 1588115 2540984 3176230 6352460 12704920