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136424540 = 22578910949
BaseRepresentation
bin10000010000110…
…10110001011100
3100111201002021202
420020122301130
5234411041130
621312015032
73244406120
oct1010326134
9314632252
10136424540
117000a85a
1239831478
1322357aa5
1414193580
15be9c145
hex821ac5c

136424540 has 48 divisors (see below), whose sum is σ = 331128000. Its totient is φ = 46244352.

The previous prime is 136424539. The next prime is 136424551. The reversal of 136424540 is 45424631.

It is a super-2 number, since 2×1364245402 = 37223310228423200, which contains 22 as substring.

It is a congruent number.

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, 6986 + ... + 17934.

It is an arithmetic number, because the mean of its divisors is an integer number (6898500).

Almost surely, 2136424540 is an apocalyptic number.

136424540 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 136424540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165564000).

136424540 is an abundant number, since it is smaller than the sum of its proper divisors (194703460).

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

136424540 is a wasteful number, since it uses less digits than its factorization.

136424540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11054 (or 11052 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 136424540 is about 11680.0916092298. The cubic root of 136424540 is about 514.7908661646.

Subtracting from 136424540 its reverse (45424631), we obtain a palindrome (90999909).

The spelling of 136424540 in words is "one hundred thirty-six million, four hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 356 445 623 890 1246 1780 2492 3115 6230 10949 12460 21898 43796 54745 76643 109490 153286 218980 306572 383215 766430 974461 1532860 1948922 3897844 4872305 6821227 9744610 13642454 19489220 27284908 34106135 68212270 136424540