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136024020 = 223251168699
BaseRepresentation
bin10000001101110…
…00111111010100
3100110221201212200
420012320333110
5234310232040
621255244500
73241120326
oct1006707724
9313851780
10136024020
116a866950
1239679730
13222476b2
14140cb616
15be1d630
hex81b8fd4

136024020 has 72 divisors (see below), whose sum is σ = 450122400. Its totient is φ = 32975040.

The previous prime is 136024013. The next prime is 136024027. The reversal of 136024020 is 20420631.

It is a happy number.

136024020 is a `hidden beast` number, since 1 + 3 + 602 + 40 + 20 = 666.

136024020 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (136024013) and next prime (136024027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 136023984 and 136024002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136024027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32370 + ... + 36329.

It is an arithmetic number, because the mean of its divisors is an integer number (6251700).

Almost surely, 2136024020 is an apocalyptic number.

136024020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136024020 is an abundant number, since it is smaller than the sum of its proper divisors (314098380).

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

136024020 is a wasteful number, since it uses less digits than its factorization.

136024020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68725 (or 68720 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 136024020 is about 11662.9335932260. The cubic root of 136024020 is about 514.2865919297.

Adding to 136024020 its reverse (20420631), we get a palindrome (156444651).

The spelling of 136024020 in words is "one hundred thirty-six million, twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 68699 137398 206097 274796 343495 412194 618291 686990 755689 824388 1030485 1236582 1373980 1511378 2060970 2267067 2473164 3022756 3091455 3778445 4121940 4534134 6182910 6801201 7556890 9068268 11335335 12365820 13602402 15113780 22670670 27204804 34006005 45341340 68012010 136024020