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135515400 = 23352225859
BaseRepresentation
bin10000001001111…
…00110100001000
3100102222220011220
420010330310020
5234142443100
621240322040
73233601426
oct1004746410
9312886156
10135515400
116a5497a9
1239473320
13220ca037
1413dd8116
15bd6caa0
hex813cd08

135515400 has 48 divisors (see below), whose sum is σ = 420099600. Its totient is φ = 36137280.

The previous prime is 135515377. The next prime is 135515411. The reversal of 135515400 is 4515531.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112330 + ... + 113529.

It is an arithmetic number, because the mean of its divisors is an integer number (8752075).

Almost surely, 2135515400 is an apocalyptic number.

135515400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135515400 is an abundant number, since it is smaller than the sum of its proper divisors (284584200).

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

135515400 is a wasteful number, since it uses less digits than its factorization.

135515400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225878 (or 225869 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 135515400 is about 11641.1081946694. The cubic root of 135515400 is about 513.6447857899.

The spelling of 135515400 in words is "one hundred thirty-five million, five hundred fifteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 225859 451718 677577 903436 1129295 1355154 1806872 2258590 2710308 3387885 4517180 5420616 5646475 6775770 9034360 11292950 13551540 16939425 22585900 27103080 33878850 45171800 67757700 135515400