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136400540 = 22583127647
BaseRepresentation
bin10000010000101…
…00111010011100
3100111122212100212
420020110322130
5234404304130
621311311552
73244246133
oct1010247234
9314585325
10136400540
116aaa3821
123981b5b8
1322349ba3
141418891a
15be94e95
hex8214e9c

136400540 has 48 divisors (see below), whose sum is σ = 292626432. Its totient is φ = 53395776.

The previous prime is 136400513. The next prime is 136400569. The reversal of 136400540 is 45004631.

It is a happy number.

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, 210497 + ... + 211143.

It is an arithmetic number, because the mean of its divisors is an integer number (6096384).

Almost surely, 2136400540 is an apocalyptic number.

136400540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136400540 is an abundant number, since it is smaller than the sum of its proper divisors (156225892).

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

136400540 is a wasteful number, since it uses less digits than its factorization.

136400540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 136400540 is about 11679.0641748387. The cubic root of 136400540 is about 514.7606768127.

The spelling of 136400540 in words is "one hundred thirty-six million, four hundred thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 83 127 166 254 332 415 508 635 647 830 1270 1294 1660 2540 2588 3235 6470 10541 12940 21082 42164 52705 53701 82169 105410 107402 164338 210820 214804 268505 328676 410845 537010 821690 1074020 1643380 6820027 13640054 27280108 34100135 68200270 136400540