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12493536 = 2531111831
BaseRepresentation
bin101111101010…
…001011100000
3212111201220120
4233222023200
511144243121
61123440240
7211123206
oct57521340
925451816
1012493536
117063640
124226080
132785833
141933076
15116bbc6
hexbea2e0

12493536 has 48 divisors (see below), whose sum is σ = 35779968. Its totient is φ = 3785600.

The previous prime is 12493529. The next prime is 12493571. The reversal of 12493536 is 63539421.

12493536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 12493497 and 12493506.

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, 4860 + ... + 6971.

It is an arithmetic number, because the mean of its divisors is an integer number (745416).

Almost surely, 212493536 is an apocalyptic number.

12493536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12493536 is an abundant number, since it is smaller than the sum of its proper divisors (23286432).

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

12493536 is a wasteful number, since it uses less digits than its factorization.

12493536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11855 (or 11847 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 12493536 is about 3534.6196400744. The cubic root of 12493536 is about 232.0394304760.

The spelling of 12493536 in words is "twelve million, four hundred ninety-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 11831 23662 35493 47324 70986 94648 130141 141972 189296 260282 283944 378592 390423 520564 567888 780846 1041128 1135776 1561692 2082256 3123384 4164512 6246768 12493536