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136072560 = 24351343613
BaseRepresentation
bin10000001110001…
…00110101110000
3100111001012110110
420013010311300
5234313310220
621300301320
73241412001
oct1007046560
9314035413
10136072560
116a89a368
12396a1840
1322263810
14141011a8
15be2cbe0
hex81c4d70

136072560 has 80 divisors (see below), whose sum is σ = 454283424. Its totient is φ = 33494016.

The previous prime is 136072549. The next prime is 136072583. The reversal of 136072560 is 65270631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 18687 + ... + 24926.

Almost surely, 2136072560 is an apocalyptic number.

136072560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136072560 is an abundant number, since it is smaller than the sum of its proper divisors (318210864).

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

136072560 is a wasteful number, since it uses less digits than its factorization.

136072560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43642 (or 43636 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 136072560 is about 11665.0143591853. The cubic root of 136072560 is about 514.3477588284.

It can be divided in two parts, 1360 and 72560, that added together give a triangular number (73920 = T384).

The spelling of 136072560 in words is "one hundred thirty-six million, seventy-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 43613 87226 130839 174452 218065 261678 348904 436130 523356 566969 654195 697808 872260 1046712 1133938 1308390 1700907 1744520 2093424 2267876 2616780 2834845 3401814 3489040 4535752 5233560 5669690 6803628 8504535 9071504 10467120 11339380 13607256 17009070 22678760 27214512 34018140 45357520 68036280 136072560