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136239376 = 24713137683
BaseRepresentation
bin10000001111011…
…01100100010000
3100111100200021211
420013231210100
5234334130001
621304025504
73243005230
oct1007554420
9314320254
10136239376
116a9a3729
1239762294
13222c1720
1414145cc0
15be62351
hex81ed910

136239376 has 80 divisors (see below), whose sum is σ = 327729024. Its totient is φ = 53425152.

The previous prime is 136239359. The next prime is 136239379. The reversal of 136239376 is 673932631.

It is a super-2 number, since 2×1362393762 = 37122335145738752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136239379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199131 + ... + 199813.

Almost surely, 2136239376 is an apocalyptic number.

136239376 is a gapful number since it is divisible by the number (16) 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 136239376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163864512).

136239376 is an abundant number, since it is smaller than the sum of its proper divisors (191489648).

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

136239376 is a wasteful number, since it uses less digits than its factorization.

136239376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 842 counting only the distinct ones).

The product of its digits is 122472, while the sum is 40.

The square root of 136239376 is about 11672.1624388971. The cubic root of 136239376 is about 514.5578584922.

The spelling of 136239376 in words is "one hundred thirty-six million, two hundred thirty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 137 182 208 274 364 548 683 728 959 1096 1366 1456 1781 1918 2192 2732 3562 3836 4781 5464 7124 7672 8879 9562 10928 12467 14248 15344 17758 19124 24934 28496 35516 38248 49868 62153 71032 76496 93571 99736 124306 142064 187142 199472 248612 374284 497224 654997 748568 994448 1216423 1309994 1497136 2432846 2619988 4865692 5239976 8514961 9731384 10479952 17029922 19462768 34059844 68119688 136239376