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12420608 = 29171427
BaseRepresentation
bin101111011000…
…011000000000
3212101000212112
4233120120000
511134424413
61122114452
7210400454
oct57303000
925330775
1012420608
117013872
1241aba28
13275b595
141914664
1511552a8
hexbd8600

12420608 has 40 divisors (see below), whose sum is σ = 26295192. Its totient is φ = 5840896.

The previous prime is 12420607. The next prime is 12420619. The reversal of 12420608 is 80602421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420607) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7991 + ... + 9417.

Almost surely, 212420608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12420608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13147596).

12420608 is an abundant number, since it is smaller than the sum of its proper divisors (13874584).

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

12420608 is an equidigital number, since it uses as much as digits as its factorization.

12420608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 12420608 is about 3524.2882969473. The cubic root of 12420608 is about 231.5870577412.

The spelling of 12420608 in words is "twelve million, four hundred twenty thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 1427 2176 2854 4352 5708 8704 11416 22832 24259 45664 48518 91328 97036 182656 194072 365312 388144 730624 776288 1552576 3105152 6210304 12420608