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13769064 = 2332191237
BaseRepresentation
bin110100100001…
…100101101000
3221220112121100
4310201211220
512011102224
61211041400
7225015021
oct64414550
927815540
1013769064
1178549a1
124740260
132b1129a
141b85c48
15131eac9
hexd21968

13769064 has 24 divisors (see below), whose sum is σ = 37291410. Its totient is φ = 4589664.

The previous prime is 13769059. The next prime is 13769087. The reversal of 13769064 is 46096731.

It can be written as a sum of positive squares in only one way, i.e., 9180900 + 4588164 = 3030^2 + 2142^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95547 + ... + 95690.

Almost surely, 213769064 is an apocalyptic number.

It is an amenable number.

13769064 is an abundant number, since it is smaller than the sum of its proper divisors (23522346).

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

13769064 is a wasteful number, since it uses less digits than its factorization.

13769064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191249 (or 191242 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 13769064 is about 3710.6689423876. The cubic root of 13769064 is about 239.6816612719.

It can be divided in two parts, 1376 and 9064, that added together give a triangular number (10440 = T144).

The spelling of 13769064 in words is "thirteen million, seven hundred sixty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 191237 382474 573711 764948 1147422 1529896 1721133 2294844 3442266 4589688 6884532 13769064