Search a number
-
+
135733052 = 22713616113
BaseRepresentation
bin10000001011100…
…01111100111100
3100110101221202002
420011301330330
5234221424202
621245121432
73235466120
oct1005617474
9313357662
10135733052
116a688284
1239559278
1322175120
1414053580
15bdb2302
hex8171f3c

135733052 has 48 divisors (see below), whose sum is σ = 297189312. Its totient is φ = 52807680.

The previous prime is 135733033. The next prime is 135733063. The reversal of 135733052 is 250337531.

135733052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1357330522 = 36846922810469408, which contains 22 as substring.

It is a congruent number.

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, 19148 + ... + 25260.

It is an arithmetic number, because the mean of its divisors is an integer number (6191444).

Almost surely, 2135733052 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 135733052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148594656).

135733052 is an abundant number, since it is smaller than the sum of its proper divisors (161456260).

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

135733052 is a wasteful number, since it uses less digits than its factorization.

135733052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6198 (or 6196 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 29.

The square root of 135733052 is about 11650.4528667344. The cubic root of 135733052 is about 513.9196279021.

The spelling of 135733052 in words is "one hundred thirty-five million, seven hundred thirty-three thousand, fifty-two".

Divisors: 1 2 4 7 13 14 26 28 52 61 91 122 182 244 364 427 793 854 1586 1708 3172 5551 6113 11102 12226 22204 24452 42791 79469 85582 158938 171164 317876 372893 556283 745786 1112566 1491572 2225132 2610251 4847609 5220502 9695218 10441004 19390436 33933263 67866526 135733052