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135269904 = 24371136599
BaseRepresentation
bin10000001000000…
…00111000010000
3100102112102102110
420010000320100
5234112114104
621231145320
73231526620
oct1004007020
9312472373
10135269904
116a3a1310
1239375240
1322042383
1413d72880
15bd1ee89
hex8100e10

135269904 has 80 divisors (see below), whose sum is σ = 435686400. Its totient is φ = 35134080.

The previous prime is 135269899. The next prime is 135269971. The reversal of 135269904 is 409962531.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14604 + ... + 21995.

It is an arithmetic number, because the mean of its divisors is an integer number (5446080).

Almost surely, 2135269904 is an apocalyptic number.

135269904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135269904 is an abundant number, since it is smaller than the sum of its proper divisors (300416496).

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

135269904 is a wasteful number, since it uses less digits than its factorization.

135269904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36628 (or 36622 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 135269904 is about 11630.5590579301. The cubic root of 135269904 is about 513.3344300121.

The spelling of 135269904 in words is "one hundred thirty-five million, two hundred sixty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 36599 73198 109797 146396 219594 256193 292792 402589 439188 512386 585584 768579 805178 878376 1024772 1207767 1537158 1610356 1756752 2049544 2415534 2818123 3074316 3220712 4099088 4831068 5636246 6148632 6441424 8454369 9662136 11272492 12297264 16908738 19324272 22544984 33817476 45089968 67634952 135269904