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135708732 = 223259181353
BaseRepresentation
bin10000001011011…
…00000000111100
3100110100201101100
420011230000330
5234220134412
621244413100
73235335165
oct1005540074
9313321340
10135708732
116a670a85
1239547190
1322167033
141404876c
15bda9edc
hex816c03c

135708732 has 72 divisors (see below), whose sum is σ = 351776880. Its totient is φ = 44098560.

The previous prime is 135708721. The next prime is 135708733. The reversal of 135708732 is 237807531.

135708732 is a `hidden beast` number, since 1 + 3 + 570 + 87 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135708733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384268 + ... + 384620.

It is an arithmetic number, because the mean of its divisors is an integer number (4885790).

Almost surely, 2135708732 is an apocalyptic number.

135708732 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 135708732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175888440).

135708732 is an abundant number, since it is smaller than the sum of its proper divisors (216068148).

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

135708732 is a wasteful number, since it uses less digits than its factorization.

135708732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 135708732 is about 11649.4090837261. The cubic root of 135708732 is about 513.8889321806. Note that the first 3 decimals are identical.

The spelling of 135708732 in words is "one hundred thirty-five million, seven hundred eight thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 181 236 353 354 362 531 543 706 708 724 1059 1062 1086 1412 1629 2118 2124 2172 3177 3258 4236 6354 6516 10679 12708 20827 21358 32037 41654 42716 62481 63893 64074 83308 96111 124962 127786 128148 187443 191679 192222 249924 255572 374886 383358 384444 575037 749772 766716 1150074 2300148 3769687 7539374 11309061 15078748 22618122 33927183 45236244 67854366 135708732