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136279368 = 23336110343
BaseRepresentation
bin10000001111101…
…11010101001000
3100111102201011000
420013313111020
5234341414433
621304535000
73243232641
oct1007672510
9314381130
10136279368
116aa20785
1239781460
13223069a4
14141566c8
15be6e113
hex81f7548

136279368 has 64 divisors (see below), whose sum is σ = 384796800. Its totient is φ = 44677440.

The previous prime is 136279357. The next prime is 136279387. The reversal of 136279368 is 863972631.

136279368 is a `hidden beast` number, since 13 + 6 + 279 + 368 = 666.

It is a super-2 number, since 2×1362793682 = 37144132284958848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8005 + ... + 18347.

It is an arithmetic number, because the mean of its divisors is an integer number (6012450).

Almost surely, 2136279368 is an apocalyptic number.

136279368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136279368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192398400).

136279368 is an abundant number, since it is smaller than the sum of its proper divisors (248517432).

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

136279368 is a wasteful number, since it uses less digits than its factorization.

136279368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10419 (or 10409 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 136279368 is about 11673.8754490529. The cubic root of 136279368 is about 514.6082017074.

The spelling of 136279368 in words is "one hundred thirty-six million, two hundred seventy-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1647 2196 3294 4392 6588 10343 13176 20686 31029 41372 62058 82744 93087 124116 186174 248232 279261 372348 558522 630923 744696 1117044 1261846 1892769 2234088 2523692 3785538 5047384 5678307 7571076 11356614 15142152 17034921 22713228 34069842 45426456 68139684 136279368