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136116480 = 283535447
BaseRepresentation
bin10000001110011…
…11100100000000
3100111010102201010
420013033210000
5234321211410
621301240520
73241654023
oct1007174400
9314112633
10136116480
116a91a365
1239703140
132227a7c6
14141131ba
15be3ac20
hex81cf900

136116480 has 72 divisors (see below), whose sum is σ = 434734272. Its totient is φ = 36296704.

The previous prime is 136116479. The next prime is 136116499. The reversal of 136116480 is 84611631.

It is a super-2 number, since 2×1361164802 = 37055392255180800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13884 + ... + 21563.

It is an arithmetic number, because the mean of its divisors is an integer number (6037976).

Almost surely, 2136116480 is an apocalyptic number.

136116480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136116480 is an abundant number, since it is smaller than the sum of its proper divisors (298617792).

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

136116480 is an equidigital number, since it uses as much as digits as its factorization.

136116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35471 (or 35457 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 136116480 is about 11666.8967596358. The cubic root of 136116480 is about 514.4030913744.

The spelling of 136116480 in words is "one hundred thirty-six million, one hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 35447 70894 106341 141788 177235 212682 283576 354470 425364 531705 567152 708940 850728 1063410 1134304 1417880 1701456 2126820 2268608 2835760 3402912 4253640 4537216 5671520 6805824 8507280 9074432 11343040 13611648 17014560 22686080 27223296 34029120 45372160 68058240 136116480