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135793038 = 2319271883
BaseRepresentation
bin10000001100000…
…00100110001110
3100110112000000210
420012000212032
5234230334123
621250303250
73236136033
oct1006004616
9313460023
10135793038
116a719357
1239587b26
1322196514
141406b38a
15bdc4e93
hex818098e

135793038 has 48 divisors (see below), whose sum is σ = 290998656. Its totient is φ = 42230160.

The previous prime is 135793013. The next prime is 135793061. The reversal of 135793038 is 830397531.

It is a junction number, because it is equal to n+sod(n) for n = 135792987 and 135793005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153345 + ... + 154227.

It is an arithmetic number, because the mean of its divisors is an integer number (6062472).

Almost surely, 2135793038 is an apocalyptic number.

135793038 is an abundant number, since it is smaller than the sum of its proper divisors (155205618).

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

135793038 is a wasteful number, since it uses less digits than its factorization.

135793038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 135793038 is about 11653.0269887270. The cubic root of 135793038 is about 513.9953241360.

It can be divided in two parts, 1357 and 93038, that added together give a triangular number (94395 = T434).

The spelling of 135793038 in words is "one hundred thirty-five million, seven hundred ninety-three thousand, thirty-eight".

Divisors: 1 2 3 6 19 38 57 71 114 142 213 361 426 722 883 1083 1349 1766 2166 2649 2698 4047 5298 8094 16777 25631 33554 50331 51262 62693 76893 100662 125386 153786 188079 318763 376158 637526 956289 1191167 1912578 2382334 3573501 7147002 22632173 45264346 67896519 135793038