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13412864 = 29172367
BaseRepresentation
bin110011001010…
…101000000000
3221020102222202
4303022220000
511413202424
61155252332
7222002363
oct63125000
927212882
1013412864
117631313
1245aa0a8
132a1810a
141ad20da
15129e2ae
hexccaa00

13412864 has 80 divisors (see below), whose sum is σ = 30051648. Its totient is φ = 5947392.

The previous prime is 13412843. The next prime is 13412891. The reversal of 13412864 is 46821431.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

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, 200159 + ... + 200225.

Almost surely, 213412864 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 13412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025824).

13412864 is an abundant number, since it is smaller than the sum of its proper divisors (16638784).

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

13412864 is an equidigital number, since it uses as much as digits as its factorization.

13412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 13412864 is about 3662.3577105466. The cubic root of 13412864 is about 237.5967561446.

The spelling of 13412864 in words is "thirteen million, four hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 67 68 92 128 134 136 184 256 268 272 368 391 512 536 544 736 782 1072 1088 1139 1472 1541 1564 2144 2176 2278 2944 3082 3128 4288 4352 4556 5888 6164 6256 8576 8704 9112 11776 12328 12512 17152 18224 24656 25024 26197 34304 36448 49312 50048 52394 72896 98624 100096 104788 145792 197248 200192 209576 291584 394496 419152 583168 788992 838304 1676608 3353216 6706432 13412864