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12414976 = 2127433
BaseRepresentation
bin101111010111…
…000000000000
3212100202010221
4233113000000
511134234401
61122032424
7210345160
oct57270000
925322127
1012414976
11700a612
1241a8714
132758b52
1419125a0
1511537a1
hexbd7000

12414976 has 52 divisors (see below), whose sum is σ = 28439152. Its totient is φ = 5308416.

The previous prime is 12414967. The next prime is 12415027. The reversal of 12414976 is 67941421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28456 + ... + 28888.

Almost surely, 212414976 is an apocalyptic number.

12414976 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 12414976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14219576).

12414976 is an abundant number, since it is smaller than the sum of its proper divisors (16024176).

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

12414976 is an frugal number, since it uses more digits than its factorization.

12414976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 442 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 12414976 is about 3523.4891797762. The cubic root of 12414976 is about 231.5520488404.

The spelling of 12414976 in words is "twelve million, four hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 433 448 512 866 896 1024 1732 1792 2048 3031 3464 3584 4096 6062 6928 7168 12124 13856 14336 24248 27712 28672 48496 55424 96992 110848 193984 221696 387968 443392 775936 886784 1551872 1773568 3103744 6207488 12414976