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12496640 = 28513751
BaseRepresentation
bin101111101010…
…111100000000
3212111220011112
4233222330000
511144343030
61123502452
7211135232
oct57527400
925456145
1012496640
117065a02
124227a28
132787080
141934252
15116ca95
hexbeaf00

12496640 has 72 divisors (see below), whose sum is σ = 32278848. Its totient is φ = 4608000.

The previous prime is 12496633. The next prime is 12496657. The reversal of 12496640 is 4669421.

It is a happy number.

12496640 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 2×124966402 = 312332022579200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12496597 and 12496606.

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, 16265 + ... + 17015.

Almost surely, 212496640 is an apocalyptic number.

12496640 is a gapful number since it is divisible by the number (10) 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 12496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16139424).

12496640 is an abundant number, since it is smaller than the sum of its proper divisors (19782208).

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

12496640 is an equidigital number, since it uses as much as digits as its factorization.

12496640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 12496640 is about 3535.0586982397. The cubic root of 12496640 is about 232.0586454992.

The spelling of 12496640 in words is "twelve million, four hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 751 832 1040 1280 1502 1664 2080 3004 3328 3755 4160 6008 7510 8320 9763 12016 15020 16640 19526 24032 30040 39052 48064 48815 60080 78104 96128 97630 120160 156208 192256 195260 240320 312416 390520 480640 624832 781040 961280 1249664 1562080 2499328 3124160 6248320 12496640