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135758304 = 25321142853
BaseRepresentation
bin10000001011110…
…00000111100000
3100110110020101100
420011320013200
5234223231204
621245434400
73235632543
oct1005700740
9313406340
10135758304
116a6a5250
123956ba00
1322183776
141405c85a
15bdb9a39
hex81781e0

135758304 has 72 divisors (see below), whose sum is σ = 421169112. Its totient is φ = 41137920.

The previous prime is 135758297. The next prime is 135758317. The reversal of 135758304 is 403857531.

135758304 is a `hidden beast` number, since 1 + 3 + 575 + 83 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18259 + ... + 24594.

It is an arithmetic number, because the mean of its divisors is an integer number (5849571).

Almost surely, 2135758304 is an apocalyptic number.

It is an amenable number.

135758304 is an abundant number, since it is smaller than the sum of its proper divisors (285410808).

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

135758304 is a wasteful number, since it uses less digits than its factorization.

135758304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42880 (or 42869 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 135758304 is about 11651.5365510305. The cubic root of 135758304 is about 513.9514960766.

The spelling of 135758304 in words is "one hundred thirty-five million, seven hundred fifty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 42853 85706 128559 171412 257118 342824 385677 471383 514236 685648 771354 942766 1028472 1371296 1414149 1542708 1885532 2056944 2828298 3085416 3771064 4113888 4242447 5656596 6170832 7542128 8484894 11313192 12341664 15084256 16969788 22626384 33939576 45252768 67879152 135758304