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136042740 = 22345791063
BaseRepresentation
bin10000001101111…
…01100011110100
3100110222200120000
420012331203310
5234311331430
621255511300
73241226031
oct1006754364
9313880500
10136042740
116a879a19
1239688530
1322253082
14140d4388
15be23e60
hex81bd8f4

136042740 has 120 divisors (see below), whose sum is σ = 432579840. Its totient is φ = 35785152.

The previous prime is 136042681. The next prime is 136042771. The reversal of 136042740 is 47240631.

136042740 is a `hidden beast` number, since 13 + 604 + 2 + 7 + 40 = 666.

136042740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127449 + ... + 128511.

It is an arithmetic number, because the mean of its divisors is an integer number (3604832).

Almost surely, 2136042740 is an apocalyptic number.

136042740 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 136042740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216289920).

136042740 is an abundant number, since it is smaller than the sum of its proper divisors (296537100).

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

136042740 is a wasteful number, since it uses less digits than its factorization.

136042740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 136042740 is about 11663.7361081259. The cubic root of 136042740 is about 514.3101833596.

It can be divided in two parts, 1360 and 42740, that added together give a square (44100 = 2102).

The spelling of 136042740 in words is "one hundred thirty-six million, forty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 81 90 108 135 158 162 180 237 270 316 324 395 405 474 540 711 790 810 948 1063 1185 1422 1580 1620 2126 2133 2370 2844 3189 3555 4252 4266 4740 5315 6378 6399 7110 8532 9567 10630 10665 12756 12798 14220 15945 19134 21260 21330 25596 28701 31890 31995 38268 42660 47835 57402 63780 63990 83977 86103 95670 114804 127980 143505 167954 172206 191340 251931 287010 335908 344412 419885 430515 503862 574020 755793 839770 861030 1007724 1259655 1511586 1679540 1722060 2267379 2519310 3023172 3778965 4534758 5038620 6802137 7557930 9069516 11336895 13604274 15115860 22673790 27208548 34010685 45347580 68021370 136042740