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136286496 = 2533157739
BaseRepresentation
bin10000001111110…
…01000100100000
3100111110001221000
420013321010200
5234342131441
621305032000
73243262503
oct1007710440
9314401830
10136286496
116aa26075
1239785600
1322309cc8
141415913a
15be712b6
hex81f9120

136286496 has 48 divisors (see below), whose sum is σ = 397504800. Its totient is φ = 45428544.

The previous prime is 136286489. The next prime is 136286497. The reversal of 136286496 is 694682631.

136286496 is a `hidden beast` number, since 13 + 628 + 6 + 4 + 9 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (136286497) 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, 78006 + ... + 79733.

It is an arithmetic number, because the mean of its divisors is an integer number (8281350).

Almost surely, 2136286496 is an apocalyptic number.

136286496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136286496 is an abundant number, since it is smaller than the sum of its proper divisors (261218304).

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

136286496 is a wasteful number, since it uses less digits than its factorization.

136286496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157758 (or 157744 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 136286496 is about 11674.1807421335. The cubic root of 136286496 is about 514.6171736287.

The spelling of 136286496 in words is "one hundred thirty-six million, two hundred eighty-six thousand, four hundred ninety-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 157739 315478 473217 630956 946434 1261912 1419651 1892868 2523824 2839302 3785736 4258953 5047648 5678604 7571472 8517906 11357208 15142944 17035812 22714416 34071624 45428832 68143248 136286496