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13372801 = 132531493
BaseRepresentation
bin110011000000…
…110110000001
3221011102000221
4303000312001
511410412201
61154343041
7221444521
oct63006601
927142027
1013372801
117604202
12458aa81
132a02b00
141ac1681
1512924a1
hexcc0d81

13372801 has 12 divisors (see below), whose sum is σ = 14763708. Its totient is φ = 12103104.

The previous prime is 13372771. The next prime is 13372831. The reversal of 13372801 is 10827331.

13372801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13372771) and next prime (13372831).

It can be written as a sum of positive squares in 6 ways, for example, as 57600 + 13315201 = 240^2 + 3649^2 .

It is a de Polignac number, because none of the positive numbers 2k-13372801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13372831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8211 + ... + 9703.

It is an arithmetic number, because the mean of its divisors is an integer number (1230309).

Almost surely, 213372801 is an apocalyptic number.

13372801 is the 2986-th pentagonal number.

It is an amenable number.

13372801 is a deficient number, since it is larger than the sum of its proper divisors (1390907).

13372801 is a wasteful number, since it uses less digits than its factorization.

13372801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 13372801 is about 3656.8840561330. The cubic root of 13372801 is about 237.3599602870.

The spelling of 13372801 in words is "thirteen million, three hundred seventy-two thousand, eight hundred one".

Divisors: 1 13 53 169 689 1493 8957 19409 79129 252317 1028677 13372801