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13374976 = 29151173
BaseRepresentation
bin110011000001…
…011000000000
3221011112000111
4303001120000
511410444401
61154401104
7221454046
oct63013000
927145014
1013374976
1176058aa
124590194
132a03ab4
141ac2396
151292e51
hexcc1600

13374976 has 40 divisors (see below), whose sum is σ = 27056304. Its totient is φ = 6604800.

The previous prime is 13374973. The next prime is 13375001. The reversal of 13374976 is 67947331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13374973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77226 + ... + 77398.

Almost surely, 213374976 is an apocalyptic number.

13374976 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 13374976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13528152).

13374976 is an abundant number, since it is smaller than the sum of its proper divisors (13681328).

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

13374976 is an equidigital number, since it uses as much as digits as its factorization.

13374976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 326 counting only the distinct ones).

The product of its digits is 95256, while the sum is 40.

The square root of 13374976 is about 3657.1814283680. The cubic root of 13374976 is about 237.3728279460.

The spelling of 13374976 in words is "thirteen million, three hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 151 173 256 302 346 512 604 692 1208 1384 2416 2768 4832 5536 9664 11072 19328 22144 26123 38656 44288 52246 77312 88576 104492 208984 417968 835936 1671872 3343744 6687488 13374976