Search a number
-
+
136429056 = 293371139
BaseRepresentation
bin10000010000110…
…11111000000000
3100111201022111000
420020123320000
5234411212211
621312052000
73244425231
oct1010337000
9314638430
10136429056
1170013195
1239834000
1322359b6a
1414195088
15be9d656
hex821be00

136429056 has 160 divisors (see below), whose sum is σ = 412473600. Its totient is φ = 44513280.

The previous prime is 136429039. The next prime is 136429057. The reversal of 136429056 is 650924631.

It is a happy number.

136429056 is a `hidden beast` number, since 1 + 3 + 642 + 9 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×1364290562 = 37225774642102272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 136429056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136429057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981435 + ... + 981573.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2136429056 is an apocalyptic number.

136429056 is a gapful number since it is divisible by the number (16) 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 136429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206236800).

136429056 is an abundant number, since it is smaller than the sum of its proper divisors (276044544).

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

136429056 is an equidigital number, since it uses as much as digits as its factorization.

136429056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 136429056 is about 11680.2849280315. The cubic root of 136429056 is about 514.7965463986.

The spelling of 136429056 in words is "one hundred thirty-six million, four hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 128 139 142 144 192 213 216 256 278 284 288 384 417 426 432 512 556 568 576 639 768 834 852 864 1112 1136 1152 1251 1278 1536 1668 1704 1728 1917 2224 2272 2304 2502 2556 3336 3408 3456 3753 3834 4448 4544 4608 5004 5112 6672 6816 6912 7506 7668 8896 9088 9869 10008 10224 13344 13632 13824 15012 15336 17792 18176 19738 20016 20448 26688 27264 29607 30024 30672 35584 36352 39476 40032 40896 53376 54528 59214 60048 61344 71168 78952 80064 81792 88821 106752 109056 118428 120096 122688 157904 160128 163584 177642 213504 236856 240192 245376 266463 315808 320256 327168 355284 473712 480384 490752 532926 631616 640512 710568 947424 960768 981504 1065852 1263232 1421136 1894848 1921536 2131704 2526464 2842272 3789696 4263408 5052928 5684544 7579392 8526816 11369088 15158784 17053632 22738176 34107264 45476352 68214528 136429056