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136427140 = 225371071723
BaseRepresentation
bin10000010000110…
…11011010000100
3100111201012212001
420020123122010
5234411132030
621312035044
73244416523
oct1010333204
9314635761
10136427140
1170011803
1239832a84
1322359025
14141944ba
15be9ccca
hex821b684

136427140 has 48 divisors (see below), whose sum is σ = 297162432. Its totient is φ = 52569216.

The previous prime is 136427129. The next prime is 136427149. The reversal of 136427140 is 41724631.

It is a super-2 number, since 2×1364271402 = 37224729057159200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136427099 and 136427108.

It is not an unprimeable number, because it can be changed into a prime (136427149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78319 + ... + 80041.

It is an arithmetic number, because the mean of its divisors is an integer number (6190884).

Almost surely, 2136427140 is an apocalyptic number.

136427140 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 136427140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148581216).

136427140 is an abundant number, since it is smaller than the sum of its proper divisors (160735292).

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

136427140 is a wasteful number, since it uses less digits than its factorization.

136427140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 136427140 is about 11680.2029091964. The cubic root of 136427140 is about 514.7941364652.

The spelling of 136427140 in words is "one hundred thirty-six million, four hundred twenty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 107 148 185 214 370 428 535 740 1070 1723 2140 3446 3959 6892 7918 8615 15836 17230 19795 34460 39590 63751 79180 127502 184361 255004 318755 368722 637510 737444 921805 1275020 1843610 3687220 6821357 13642714 27285428 34106785 68213570 136427140