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135514320 = 2435564643
BaseRepresentation
bin10000001001111…
…00100011010000
3100102222211200220
420010330203100
5234142424240
621240313040
73233565324
oct1004744320
9312884626
10135514320
116a548a07
1239472780
13220c96b6
1413dd7984
15bd6c5d0
hex813c8d0

135514320 has 40 divisors (see below), whose sum is σ = 420095136. Its totient is φ = 36137088.

The previous prime is 135514283. The next prime is 135514331. The reversal of 135514320 is 23415531.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282082 + ... + 282561.

Almost surely, 2135514320 is an apocalyptic number.

135514320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135514320 is an abundant number, since it is smaller than the sum of its proper divisors (284580816).

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

135514320 is a wasteful number, since it uses less digits than its factorization.

135514320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564659 (or 564653 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 135514320 is about 11641.0618072408. The cubic root of 135514320 is about 513.6434212763.

Adding to 135514320 its reverse (23415531), we get a palindrome (158929851).

It can be divided in two parts, 13551 and 4320, that added together give a palindrome (17871).

The spelling of 135514320 in words is "one hundred thirty-five million, five hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 564643 1129286 1693929 2258572 2823215 3387858 4517144 5646430 6775716 8469645 9034288 11292860 13551432 16939290 22585720 27102864 33878580 45171440 67757160 135514320