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13442976 = 253315559
BaseRepresentation
bin110011010001…
…111110100000
3221021222022000
4303101332200
511420133401
61200044000
7222156231
oct63217640
927258260
1013442976
1176519a8
124603600
132a28a31
141add088
1512a8186
hexcd1fa0

13442976 has 48 divisors (see below), whose sum is σ = 39211200. Its totient is φ = 4480704.

The previous prime is 13442969. The next prime is 13442977. The reversal of 13442976 is 67924431.

13442976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13442976.

It is not an unprimeable number, because it can be changed into a prime (13442977) 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, 6916 + ... + 8643.

It is an arithmetic number, because the mean of its divisors is an integer number (816900).

Almost surely, 213442976 is an apocalyptic number.

13442976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13442976 is an abundant number, since it is smaller than the sum of its proper divisors (25768224).

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

13442976 is a wasteful number, since it uses less digits than its factorization.

13442976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15578 (or 15564 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13442976 is about 3666.4664187743. The cubic root of 13442976 is about 237.7744255374.

The spelling of 13442976 in words is "thirteen million, four hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 15559 31118 46677 62236 93354 124472 140031 186708 248944 280062 373416 420093 497888 560124 746832 840186 1120248 1493664 1680372 2240496 3360744 4480992 6721488 13442976