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136260432 = 243271112289
BaseRepresentation
bin10000001111100…
…10101101010000
3100111101202011200
420013302231100
5234340313212
621304311200
73243123510
oct1007625520
9314352150
10136260432
116aa08530
1239772500
13222cb199
141414d840
15be686dc
hex81f2b50

136260432 has 120 divisors (see below), whose sum is σ = 475475520. Its totient is φ = 35389440.

The previous prime is 136260427. The next prime is 136260461. The reversal of 136260432 is 234062631.

136260432 is a `hidden beast` number, since 1 + 3 + 626 + 0 + 4 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 136260396 and 136260405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4944 + ... + 17232.

It is an arithmetic number, because the mean of its divisors is an integer number (3962296).

Almost surely, 2136260432 is an apocalyptic number.

136260432 is a gapful number since it is divisible by the number (12) 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 136260432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237737760).

136260432 is an abundant number, since it is smaller than the sum of its proper divisors (339215088).

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

136260432 is a wasteful number, since it uses less digits than its factorization.

136260432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12321 (or 12312 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 136260432 is about 11673.0643791594. The cubic root of 136260432 is about 514.5843656897.

The spelling of 136260432 in words is "one hundred thirty-six million, two hundred sixty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 12289 24578 36867 49156 73734 86023 98312 110601 135179 147468 172046 196624 221202 258069 270358 294936 344092 405537 442404 516138 540716 589872 688184 774207 811074 884808 946253 1032276 1081432 1216611 1376368 1548414 1622148 1769616 1892506 2064552 2162864 2433222 2838759 3096828 3244296 3785012 4129104 4866444 5677518 6193656 6488592 7570024 8516277 9732888 11355036 12387312 15140048 17032554 19465776 22710072 34065108 45420144 68130216 136260432