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135439040 = 26511109353
BaseRepresentation
bin10000001001010…
…10001011000000
3100102212000102202
420010222023000
5234133022130
621234532332
73233133002
oct1004521300
9312760382
10135439040
116a4a73a0
12394370a8
13220a1359
1413db8372
15bd55145
hex812a2c0

135439040 has 112 divisors (see below), whose sum is σ = 356067360. Its totient is φ = 48660480.

The previous prime is 135439039. The next prime is 135439067. The reversal of 135439040 is 40934531.

It is a super-2 number, since 2×1354390402 = 36687467112243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135438994 and 135439012.

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, 383504 + ... + 383856.

Almost surely, 2135439040 is an apocalyptic number.

135439040 is a gapful number since it is divisible by the number (10) 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 135439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178033680).

135439040 is an abundant number, since it is smaller than the sum of its proper divisors (220628320).

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

135439040 is a wasteful number, since it uses less digits than its factorization.

135439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 135439040 is about 11637.8279760443. The cubic root of 135439040 is about 513.5482917505.

The spelling of 135439040 in words is "one hundred thirty-five million, four hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 109 110 160 176 218 220 320 352 353 436 440 545 704 706 872 880 1090 1199 1412 1744 1760 1765 2180 2398 2824 3488 3520 3530 3883 4360 4796 5648 5995 6976 7060 7766 8720 9592 11296 11990 14120 15532 17440 19184 19415 22592 23980 28240 31064 34880 38368 38477 38830 47960 56480 62128 76736 76954 77660 95920 112960 124256 153908 155320 191840 192385 248512 307816 310640 383680 384770 423247 615632 621280 769540 846494 1231264 1242560 1539080 1692988 2116235 2462528 3078160 3385976 4232470 6156320 6771952 8464940 12312640 13543904 16929880 27087808 33859760 67719520 135439040