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12400496 = 2423311087
BaseRepresentation
bin101111010011…
…011101110000
3212100000021122
4233103131300
511133303441
61121441412
7210255023
oct57233560
925300248
1012400496
116aaa749
1241a0268
132752394
14190b1ba
15114e34b
hexbd3770

12400496 has 40 divisors (see below), whose sum is σ = 25903104. Its totient is φ = 5734080.

The previous prime is 12400489. The next prime is 12400511. The reversal of 12400496 is 69400421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10865 + ... + 11951.

Almost surely, 212400496 is an apocalyptic number.

12400496 is a gapful number since it is divisible by the number (16) 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 12400496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12951552).

12400496 is an abundant number, since it is smaller than the sum of its proper divisors (13502608).

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

12400496 is a wasteful number, since it uses less digits than its factorization.

12400496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 12400496 is about 3521.4337988950. The cubic root of 12400496 is about 231.4619915302.

It can be divided in two parts, 12400 and 496, that multiplied together give a square (6150400 = 24802).

The spelling of 12400496 in words is "twelve million, four hundred thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 184 248 368 496 713 1087 1426 2174 2852 4348 5704 8696 11408 17392 25001 33697 50002 67394 100004 134788 200008 269576 400016 539152 775031 1550062 3100124 6200248 12400496