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135829350 = 23252301843
BaseRepresentation
bin10000001100010…
…01011101100110
3100110120211211200
420012021131212
5234233014400
621251143330
73236346636
oct1006113546
9313524750
10135829350
116a743668
12395a4b46
13221a9bc7
141407a6c6
15bdd0b00
hex8189766

135829350 has 36 divisors (see below), whose sum is σ = 364929396. Its totient is φ = 36221040.

The previous prime is 135829349. The next prime is 135829357. The reversal of 135829350 is 53928531.

It is a super-2 number, since 2×1358293502 = 36899224642845000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135829357) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 150472 + ... + 151371.

Almost surely, 2135829350 is an apocalyptic number.

135829350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135829350 is an abundant number, since it is smaller than the sum of its proper divisors (229100046).

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

135829350 is a wasteful number, since it uses less digits than its factorization.

135829350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301861 (or 301853 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 135829350 is about 11654.5849346942. The cubic root of 135829350 is about 514.0411353574.

The spelling of 135829350 in words is "one hundred thirty-five million, eight hundred twenty-nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 301843 603686 905529 1509215 1811058 2716587 3018430 4527645 5433174 7546075 9055290 13582935 15092150 22638225 27165870 45276450 67914675 135829350