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136922112 = 2103283179
BaseRepresentation
bin10000010100101…
…00010000000000
3100112122100211100
420022110100000
5240023001422
621330414400
73251550555
oct1012242000
9315570740
10136922112
117031a678
1239a31400
13224a0402
1414282a2c
15c0497ac
hex8294400

136922112 has 132 divisors (see below), whose sum is σ = 402358320. Its totient is φ = 44838912.

The previous prime is 136922111. The next prime is 136922141. The reversal of 136922112 is 211229631.

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 (136922111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 764839 + ... + 765017.

Almost surely, 2136922112 is an apocalyptic number.

136922112 is a gapful number since it is divisible by the number (12) 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 136922112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201179160).

136922112 is an abundant number, since it is smaller than the sum of its proper divisors (265436208).

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

136922112 is a wasteful number, since it uses less digits than its factorization.

136922112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 267 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 136922112 is about 11701.3722272219. The cubic root of 136922112 is about 515.4159607967.

The spelling of 136922112 in words is "one hundred thirty-six million, nine hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 179 192 249 256 288 332 358 384 498 512 537 576 664 716 747 768 996 1024 1074 1152 1328 1432 1494 1536 1611 1992 2148 2304 2656 2864 2988 3072 3222 3984 4296 4608 5312 5728 5976 6444 7968 8592 9216 10624 11456 11952 12888 14857 15936 17184 21248 22912 23904 25776 29714 31872 34368 42496 44571 45824 47808 51552 59428 63744 68736 84992 89142 91648 95616 103104 118856 127488 133713 137472 178284 183296 191232 206208 237712 254976 267426 274944 356568 382464 412416 475424 534852 549888 713136 764928 824832 950848 1069704 1426272 1649664 1901696 2139408 2852544 3803392 4278816 5705088 7606784 8557632 11410176 15213568 17115264 22820352 34230528 45640704 68461056 136922112