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135860300 = 22523773503
BaseRepresentation
bin10000001100100…
…01000001001100
3100110122102021222
420012101001030
5234240012200
621251542512
73236536112
oct1006210114
9313572258
10135860300
116a764944
12395baa38
13221bb014
1414087ab2
15bdd9d85
hex819104c

135860300 has 72 divisors (see below), whose sum is σ = 307542816. Its totient is φ = 52047360.

The previous prime is 135860269. The next prime is 135860323. The reversal of 135860300 is 3068531.

It is a super-2 number, since 2×1358603002 = 36916042232180000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135860300.

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, 269849 + ... + 270351.

It is an arithmetic number, because the mean of its divisors is an integer number (4271428).

Almost surely, 2135860300 is an apocalyptic number.

135860300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135860300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153771408).

135860300 is an abundant number, since it is smaller than the sum of its proper divisors (171682516).

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

135860300 is a wasteful number, since it uses less digits than its factorization.

135860300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 135860300 is about 11655.9126626790. The cubic root of 135860300 is about 514.0801754346.

The spelling of 135860300 in words is "one hundred thirty-five million, eight hundred sixty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 73 74 100 146 148 185 292 365 370 503 730 740 925 1006 1460 1825 1850 2012 2515 2701 3650 3700 5030 5402 7300 10060 10804 12575 13505 18611 25150 27010 36719 37222 50300 54020 67525 73438 74444 93055 135050 146876 183595 186110 270100 367190 372220 465275 734380 917975 930550 1358603 1835950 1861100 2717206 3671900 5434412 6793015 13586030 27172060 33965075 67930150 135860300