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1357667136 = 26337112241
BaseRepresentation
bin101000011101100…
…0101101101000000
310111121200122012000
41100323011231000
510240030322021
6342415304000
745433660140
oct12073055500
93447618160
101357667136
11637405461
1231a81b000
13188379147
14cc452920
157e2d1b26
hex50ec5b40

1357667136 has 112 divisors (see below), whose sum is σ = 4561514880. Its totient is φ = 387901440.

The previous prime is 1357667131. The next prime is 1357667137. The reversal of 1357667136 is 6317667531.

1357667136 is a `hidden beast` number, since 1 + 3 + 576 + 6 + 71 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1357667091 and 1357667100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357667131) by changing a digit.

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, 44025 + ... + 68216.

Almost surely, 21357667136 is an apocalyptic number.

1357667136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1357667136 is an abundant number, since it is smaller than the sum of its proper divisors (3203847744).

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

1357667136 is a wasteful number, since it uses less digits than its factorization.

1357667136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112269 (or 112253 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 1357667136 is about 36846.5349252816. The cubic root of 1357667136 is about 1107.2977951920.

The spelling of 1357667136 in words is "one billion, three hundred fifty-seven million, six hundred sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 112241 224482 336723 448964 673446 785687 897928 1010169 1346892 1571374 1795856 2020338 2357061 2693784 3030507 3142748 3591712 4040676 4714122 5387568 6061014 6285496 7071183 7183424 8081352 9428244 10775136 12122028 12570992 14142366 16162704 18856488 21213549 21550272 24244056 25141984 28284732 32325408 37712976 42427098 48488112 50283968 56569464 64650816 75425952 84854196 96976224 113138928 150851904 169708392 193952448 226277856 339416784 452555712 678833568 1357667136