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12900468 = 22371959137
BaseRepresentation
bin110001001101…
…100001110100
3220021102010010
4301031201310
511300303333
61140300220
7214436460
oct61154164
926242103
1012900468
117311349
1243a1670
132898b19
1419db4a0
1511ec563
hexc4d874

12900468 has 96 divisors (see below), whose sum is σ = 37094400. Its totient is φ = 3407616.

The previous prime is 12900443. The next prime is 12900469. The reversal of 12900468 is 86400921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12900469) 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 31 ways as a sum of consecutive naturals, for example, 94096 + ... + 94232.

It is an arithmetic number, because the mean of its divisors is an integer number (386400).

Almost surely, 212900468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12900468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18547200).

12900468 is an abundant number, since it is smaller than the sum of its proper divisors (24193932).

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

12900468 is a wasteful number, since it uses less digits than its factorization.

12900468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 227 counting only the distinct ones).

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

The square root of 12900468 is about 3591.7221496101. The cubic root of 12900468 is about 234.5318460182.

The spelling of 12900468 in words is "twelve million, nine hundred thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 59 76 84 114 118 133 137 177 228 236 266 274 354 399 411 413 532 548 708 798 822 826 959 1121 1239 1596 1644 1652 1918 2242 2478 2603 2877 3363 3836 4484 4956 5206 5754 6726 7809 7847 8083 10412 11508 13452 15618 15694 16166 18221 23541 24249 31236 31388 32332 36442 47082 48498 54663 56581 72884 94164 96996 109326 113162 153577 169743 218652 226324 307154 339486 460731 614308 678972 921462 1075039 1842924 2150078 3225117 4300156 6450234 12900468