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12534984 = 233272111719
BaseRepresentation
bin101111110100…
…010011001000
3212120211202200
4233310103020
511202104414
61124400200
7211355100
oct57642310
925524680
1012534984
1170917a0
124246060
13279b667
141944200
151179109
hexbf44c8

12534984 has 288 divisors, whose sum is σ = 48016800. Its totient is φ = 2903040.

The previous prime is 12534983. The next prime is 12535007. The reversal of 12534984 is 48943521.

12534984 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

12534984 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (12534983) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 659727 + ... + 659745.

It is an arithmetic number, because the mean of its divisors is an integer number (166725).

Almost surely, 212534984 is an apocalyptic number.

12534984 is a gapful number since it is divisible by the number (14) 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 12534984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24008400).

12534984 is an abundant number, since it is smaller than the sum of its proper divisors (35481816).

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

12534984 is a wasteful number, since it uses less digits than its factorization.

12534984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 59 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 12534984 is about 3540.4779338389. The cubic root of 12534984 is about 232.2957484703.

The spelling of 12534984 in words is "twelve million, five hundred thirty-four thousand, nine hundred eighty-four".