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135424432 = 241113229157
BaseRepresentation
bin10000001001001…
…10100110110000
3100102211021101201
420010212212300
5234132040212
621234340544
73233042263
oct1004464660
9312737351
10135424432
116a497420
123942a754
1322097800
1413db2cda
15bd50b57
hex81269b0

135424432 has 120 divisors (see below), whose sum is σ = 322680240. Its totient is φ = 54512640.

The previous prime is 135424409. The next prime is 135424439. The reversal of 135424432 is 234424531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 135424432.

It is not an unprimeable number, because it can be changed into a prime (135424439) 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, 862498 + ... + 862654.

It is an arithmetic number, because the mean of its divisors is an integer number (2689002).

Almost surely, 2135424432 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 135424432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161340120).

135424432 is an abundant number, since it is smaller than the sum of its proper divisors (187255808).

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

135424432 is a wasteful number, since it uses less digits than its factorization.

135424432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 212 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 135424432 is about 11637.2003505998. The cubic root of 135424432 is about 513.5298278887.

Adding to 135424432 its reverse (234424531), we get a palindrome (369848963).

Subtracting 135424432 from its reverse (234424531), we obtain a palindrome (99000099).

The spelling of 135424432 in words is "one hundred thirty-five million, four hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 29 44 52 58 88 104 116 143 157 169 176 208 232 286 314 319 338 377 464 572 628 638 676 754 1144 1256 1276 1352 1508 1727 1859 2041 2288 2512 2552 2704 3016 3454 3718 4082 4147 4553 4901 5104 6032 6908 7436 8164 8294 9106 9802 13816 14872 16328 16588 18212 19604 22451 26533 27632 29744 32656 33176 36424 39208 44902 50083 53066 53911 59189 66352 72848 78416 89804 100166 106132 107822 118378 179608 200332 212264 215644 236756 291863 359216 400664 424528 431288 473512 583726 651079 769457 801328 862576 947024 1167452 1302158 1538914 2334904 2604316 3077828 4669808 5208632 6155656 8464027 10417264 12311312 16928054 33856108 67712216 135424432