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13700097 = 3618793
BaseRepresentation
bin110100010000…
…110000000001
3221210001000000
4310100300001
512001400342
61205350213
7224306655
oct64206001
927701000
1013700097
1178080a4
124708369
132ab8a88
141b68a65
15130944c
hexd10c01

13700097 has 14 divisors (see below), whose sum is σ = 20541842. Its totient is φ = 9132912.

The previous prime is 13700087. The next prime is 13700107. The reversal of 13700097 is 79000731.

It is an interprime number because it is at equal distance from previous prime (13700087) and next prime (13700107).

It can be written as a sum of positive squares in only one way, i.e., 12702096 + 998001 = 3564^2 + 999^2 .

It is not a de Polignac number, because 13700097 - 24 = 13700081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13700097.

It is not an unprimeable number, because it can be changed into a prime (13700017) 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 13 ways as a sum of consecutive naturals, for example, 8668 + ... + 10125.

Almost surely, 213700097 is an apocalyptic number.

It is an amenable number.

13700097 is a deficient number, since it is larger than the sum of its proper divisors (6841745).

13700097 is an frugal number, since it uses more digits than its factorization.

13700097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18811 (or 18796 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 13700097 is about 3701.3642079644. The cubic root of 13700097 is about 239.2808157947.

The spelling of 13700097 in words is "thirteen million, seven hundred thousand, ninety-seven".

Divisors: 1 3 9 27 81 243 729 18793 56379 169137 507411 1522233 4566699 13700097