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136492960 = 2551959761
BaseRepresentation
bin10000010001010…
…11011110100000
3100111211120010211
420020223132200
5234420233320
621313303504
73245112442
oct1010533640
9314746124
10136492960
11700571aa
1239864b94
132237cc86
14141b0492
15beb255a
hex822b7a0

136492960 has 96 divisors (see below), whose sum is σ = 345643200. Its totient is φ = 50780160.

The previous prime is 136492913. The next prime is 136492987. The reversal of 136492960 is 69294631.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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, 178980 + ... + 179740.

It is an arithmetic number, because the mean of its divisors is an integer number (3600450).

Almost surely, 2136492960 is an apocalyptic number.

136492960 is a gapful number since it is divisible by the number (10) 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 136492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172821600).

136492960 is an abundant number, since it is smaller than the sum of its proper divisors (209150240).

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

136492960 is a wasteful number, since it uses less digits than its factorization.

136492960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 136492960 is about 11683.0201574764. The cubic root of 136492960 is about 514.8769115455.

The spelling of 136492960 in words is "one hundred thirty-six million, four hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 59 76 80 95 118 152 160 190 236 295 304 380 472 590 608 760 761 944 1121 1180 1520 1522 1888 2242 2360 3040 3044 3805 4484 4720 5605 6088 7610 8968 9440 11210 12176 14459 15220 17936 22420 24352 28918 30440 35872 44840 44899 57836 60880 72295 89680 89798 115672 121760 144590 179360 179596 224495 231344 289180 359192 448990 462688 578360 718384 853081 897980 1156720 1436768 1706162 1795960 2313440 3412324 3591920 4265405 6824648 7183840 8530810 13649296 17061620 27298592 34123240 68246480 136492960