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12420096 = 210313311
BaseRepresentation
bin101111011000…
…010000000000
3212101000011120
4233120100000
511134420341
61122112240
7210366123
oct57302000
925330146
1012420096
117013447
1241ab680
13275b290
1419143ba
151155066
hexbd8400

12420096 has 88 divisors (see below), whose sum is σ = 35765184. Its totient is φ = 3809280.

The previous prime is 12420059. The next prime is 12420097. The reversal of 12420096 is 69002421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12420097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39781 + ... + 40091.

Almost surely, 212420096 is an apocalyptic number.

12420096 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 12420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17882592).

12420096 is an abundant number, since it is smaller than the sum of its proper divisors (23345088).

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

12420096 is a wasteful number, since it uses less digits than its factorization.

12420096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12420096 is about 3524.2156574194. The cubic root of 12420096 is about 231.5838755512.

The spelling of 12420096 in words is "twelve million, four hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 311 312 384 416 512 622 624 768 832 933 1024 1244 1248 1536 1664 1866 2488 2496 3072 3328 3732 4043 4976 4992 6656 7464 8086 9952 9984 12129 13312 14928 16172 19904 19968 24258 29856 32344 39808 39936 48516 59712 64688 79616 97032 119424 129376 159232 194064 238848 258752 318464 388128 477696 517504 776256 955392 1035008 1552512 2070016 3105024 4140032 6210048 12420096