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135040704 = 2632979307
BaseRepresentation
bin10000000110010…
…00111011000000
3100102002210000120
420003020323000
5234032300304
621222220240
73226553451
oct1003107300
9312083016
10135040704
116a255097
1239284680
1321c91c56
1413d13128
15bcc70d9
hex80c8ec0

135040704 has 112 divisors (see below), whose sum is σ = 375513600. Its totient is φ = 42771456.

The previous prime is 135040699. The next prime is 135040721. The reversal of 135040704 is 407040531.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 439719 + ... + 440025.

It is an arithmetic number, because the mean of its divisors is an integer number (3352800).

Almost surely, 2135040704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135040704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187756800).

135040704 is an abundant number, since it is smaller than the sum of its proper divisors (240472896).

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

135040704 is a wasteful number, since it uses less digits than its factorization.

135040704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 135040704 is about 11620.7015278769. The cubic root of 135040704 is about 513.0443364969.

The spelling of 135040704 in words is "one hundred thirty-five million, forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 79 87 96 116 158 174 192 232 237 307 316 348 464 474 614 632 696 921 928 948 1228 1264 1392 1842 1856 1896 2291 2456 2528 2784 3684 3792 4582 4912 5056 5568 6873 7368 7584 8903 9164 9824 13746 14736 15168 17806 18328 19648 24253 26709 27492 29472 35612 36656 48506 53418 54984 58944 71224 72759 73312 97012 106836 109968 142448 145518 146624 194024 213672 219936 284896 291036 388048 427344 439872 569792 582072 703337 776096 854688 1164144 1406674 1552192 1709376 2110011 2328288 2813348 4220022 4656576 5626696 8440044 11253392 16880088 22506784 33760176 45013568 67520352 135040704