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12890460 = 22351119531
BaseRepresentation
bin110001001011…
…000101011100
3220020220101110
4301023011130
511244443320
61140142020
7214365342
oct61130534
926226343
1012890460
117304880
124397910
1328943bb
1419d7992
1511e95e0
hexc4b15c

12890460 has 48 divisors (see below), whose sum is σ = 39376512. Its totient is φ = 3124800.

The previous prime is 12890447. The next prime is 12890461. The reversal of 12890460 is 6409821.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12890461) 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, 9106 + ... + 10425.

It is an arithmetic number, because the mean of its divisors is an integer number (820344).

Almost surely, 212890460 is an apocalyptic number.

12890460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12890460 is an abundant number, since it is smaller than the sum of its proper divisors (26486052).

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

12890460 is a wasteful number, since it uses less digits than its factorization.

12890460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19554 (or 19552 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 12890460 is about 3590.3286757622. The cubic root of 12890460 is about 234.4711815020.

The spelling of 12890460 in words is "twelve million, eight hundred ninety thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 19531 39062 58593 78124 97655 117186 195310 214841 234372 292965 390620 429682 585930 644523 859364 1074205 1171860 1289046 2148410 2578092 3222615 4296820 6445230 12890460