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12534496 = 2513291039
BaseRepresentation
bin101111110100…
…001011100000
3212120211002121
4233310023200
511202100441
61124354024
7211353502
oct57641340
925524077
1012534496
117091397
124245914
13279b380
141943d72
151178dd1
hexbf42e0

12534496 has 48 divisors (see below), whose sum is σ = 27518400. Its totient is φ = 5580288.

The previous prime is 12534461. The next prime is 12534523. The reversal of 12534496 is 69443521.

It is a happy number.

12534496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×125344962 = 314227179948032, which contains 22 as substring.

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, 11545 + ... + 12583.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 212534496 is an apocalyptic number.

12534496 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 12534496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759200).

12534496 is an abundant number, since it is smaller than the sum of its proper divisors (14983904).

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

12534496 is a wasteful number, since it uses less digits than its factorization.

12534496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1083 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 12534496 is about 3540.4090159189. The cubic root of 12534496 is about 232.2927339259.

The spelling of 12534496 in words is "twelve million, five hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1039 1508 2078 3016 4156 6032 8312 12064 13507 16624 27014 30131 33248 54028 60262 108056 120524 216112 241048 391703 432224 482096 783406 964192 1566812 3133624 6267248 12534496