Search a number
-
+
136370304 = 273471879
BaseRepresentation
bin10000010000011…
…01100010000000
3100111121022220000
420020031202000
5234402322204
621310520000
73244062030
oct1010154200
9314538800
10136370304
116aa83034
1239806000
13223391b5
141417b8c0
15be8b039
hex820d880

136370304 has 160 divisors (see below), whose sum is σ = 464059200. Its totient is φ = 38942208.

The previous prime is 136370303. The next prime is 136370309. The reversal of 136370304 is 403073631.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (136370303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71637 + ... + 73515.

It is an arithmetic number, because the mean of its divisors is an integer number (2900370).

Almost surely, 2136370304 is an apocalyptic number.

136370304 is a gapful number since it is divisible by the number (14) 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 136370304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232029600).

136370304 is an abundant number, since it is smaller than the sum of its proper divisors (327688896).

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

136370304 is an equidigital number, since it uses as much as digits as its factorization.

136370304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 136370304 is about 11677.7696500659. The cubic root of 136370304 is about 514.7226382193.

The spelling of 136370304 in words is "one hundred thirty-six million, three hundred seventy thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 1879 2016 2268 2592 2688 3024 3456 3758 4032 4536 5184 5637 6048 7516 8064 9072 10368 11274 12096 13153 15032 16911 18144 22548 24192 26306 30064 33822 36288 39459 45096 50733 52612 60128 67644 72576 78918 90192 101466 105224 118377 120256 135288 152199 157836 180384 202932 210448 236754 240512 270576 304398 315672 355131 360768 405864 420896 473508 541152 608796 631344 710262 721536 811728 841792 947016 1065393 1082304 1217592 1262688 1420524 1623456 1683584 1894032 2130786 2164608 2435184 2525376 2841048 3246912 3788064 4261572 4870368 5050752 5682096 6493824 7576128 8523144 9740736 11364192 15152256 17046288 19481472 22728384 34092576 45456768 68185152 136370304