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136434240 = 2633515791
BaseRepresentation
bin10000010000111…
…01001001000000
3100111201120121000
420020131021000
5234411343430
621312132000
73244446315
oct1010351100
9314646530
10136434240
1170017078
1239837000
132235c327
1414196d0c
15be9ee60
hex821d240

136434240 has 112 divisors (see below), whose sum is σ = 481340160. Its totient is φ = 36380160.

The previous prime is 136434217. The next prime is 136434257. The reversal of 136434240 is 42434631.

136434240 is a `hidden beast` number, since 13 + 643 + 4 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×1364342402 = 37228603688755200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745 + ... + 16535.

It is an arithmetic number, because the mean of its divisors is an integer number (4297680).

Almost surely, 2136434240 is an apocalyptic number.

136434240 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 136434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240670080).

136434240 is an abundant number, since it is smaller than the sum of its proper divisors (344905920).

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

136434240 is a wasteful number, since it uses less digits than its factorization.

136434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15817 (or 15801 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 136434240 is about 11680.5068383183. The cubic root of 136434240 is about 514.8030666897.

Adding to 136434240 its reverse (42434631), we get a palindrome (178868871).

The spelling of 136434240 in words is "one hundred thirty-six million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 15791 31582 47373 63164 78955 94746 126328 142119 157910 189492 236865 252656 284238 315820 378984 426357 473730 505312 568476 631640 710595 757968 852714 947460 1010624 1136952 1263280 1421190 1515936 1705428 1894920 2131785 2273904 2526560 2842380 3031872 3410856 3789840 4263570 4547808 5053120 5684760 6821712 7579680 8527140 9095616 11369520 13643424 15159360 17054280 22739040 27286848 34108560 45478080 68217120 136434240