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136106397 = 3272160419
BaseRepresentation
bin10000001110011…
…01000110011101
3100111002220212200
420013031012131
5234320401042
621301122113
73241612440
oct1007150635
9314086780
10136106397
116a912829
12396b9339
132227603b
141410d657
15be37c4c
hex81cd19d

136106397 has 12 divisors (see below), whose sum is σ = 224683680. Its totient is φ = 77775048.

The previous prime is 136106393. The next prime is 136106419. The reversal of 136106397 is 793601631.

136106397 is a `hidden beast` number, since 1 + 3 + 6 + 10 + 639 + 7 = 666.

It is not a de Polignac number, because 136106397 - 22 = 136106393 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136106393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1080147 + ... + 1080272.

It is an arithmetic number, because the mean of its divisors is an integer number (18723640).

Almost surely, 2136106397 is an apocalyptic number.

It is an amenable number.

136106397 is a deficient number, since it is larger than the sum of its proper divisors (88577283).

136106397 is a wasteful number, since it uses less digits than its factorization.

136106397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160432 (or 2160429 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 136106397 is about 11666.4646315840. The cubic root of 136106397 is about 514.3903893747.

It can be divided in two parts, 136106 and 397, that added together give a triangular number (136503 = T522).

The spelling of 136106397 in words is "one hundred thirty-six million, one hundred six thousand, three hundred ninety-seven".

Divisors: 1 3 7 9 21 63 2160419 6481257 15122933 19443771 45368799 136106397