Search a number
-
+
136325448 = 233272172273
BaseRepresentation
bin10000010000000…
…10100101001000
3100111112001100200
420020002211020
5234344403243
621305532200
73243514200
oct1010024510
9314461320
10136325448
116aa52366
12397a4060
132232195c
1414169400
15be7cad3
hex8202948

136325448 has 144 divisors (see below), whose sum is σ = 454959180. Its totient is φ = 36642816.

The previous prime is 136325447. The next prime is 136325471. The reversal of 136325448 is 844523631.

136325448 is a `hidden beast` number, since 1 + 363 + 254 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 118330884 + 17994564 = 10878^2 + 4242^2 .

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

It is not an unprimeable number, because it can be changed into a prime (136325443) 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 35 ways as a sum of consecutive naturals, for example, 58840 + ... + 61112.

Almost surely, 2136325448 is an apocalyptic number.

136325448 is a gapful number since it is divisible by the number (18) 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 136325448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227479590).

136325448 is an abundant number, since it is smaller than the sum of its proper divisors (318633732).

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

136325448 is a wasteful number, since it uses less digits than its factorization.

136325448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2302 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 136325448 is about 11675.8489198859. The cubic root of 136325448 is about 514.6661964821. Note that the first 3 decimals are identical.

The spelling of 136325448 in words is "one hundred thirty-six million, three hundred twenty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 49 51 56 63 68 72 84 98 102 119 126 136 147 153 168 196 204 238 252 294 306 357 392 408 441 476 504 588 612 714 833 882 952 1071 1176 1224 1428 1666 1764 2142 2273 2499 2856 3332 3528 4284 4546 4998 6664 6819 7497 8568 9092 9996 13638 14994 15911 18184 19992 20457 27276 29988 31822 38641 40914 47733 54552 59976 63644 77282 81828 95466 111377 115923 127288 143199 154564 163656 190932 222754 231846 270487 286398 309128 334131 347769 381864 445508 463692 540974 572796 668262 695538 811461 891016 927384 1002393 1081948 1145592 1336524 1391076 1622922 1893409 2004786 2163896 2434383 2673048 2782152 3245844 3786818 4009572 4868766 5680227 6491688 7573636 8019144 9737532 11360454 15147272 17040681 19475064 22720908 34081362 45441816 68162724 136325448