Search a number
-
+
136261632 = 212313853
BaseRepresentation
bin10000001111100…
…11000000000000
3100111101210211010
420013303000000
5234340333012
621304320520
73243130143
oct1007630000
9314353733
10136261632
116aa09421
1239773140
13222cb8b0
141415005a
15be68c3c
hex81f3000

136261632 has 104 divisors (see below), whose sum is σ = 391726384. Its totient is φ = 41877504.

The previous prime is 136261607. The next prime is 136261651. The reversal of 136261632 is 236162631.

It is a tau number, because it is divible by the number of its divisors (104).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 136261632.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159318 + ... + 160170.

Almost surely, 2136261632 is an apocalyptic number.

136261632 is a gapful number since it is divisible by the number (12) 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 136261632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195863192).

136261632 is an abundant number, since it is smaller than the sum of its proper divisors (255464752).

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

136261632 is an equidigital number, since it uses as much as digits as its factorization.

136261632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 871 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 136261632 is about 11673.1157794310. The cubic root of 136261632 is about 514.5858762760.

Subtracting 136261632 from its reverse (236162631), we obtain a palindrome (99900999).

The spelling of 136261632 in words is "one hundred thirty-six million, two hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 853 1024 1248 1536 1664 1706 2048 2496 2559 3072 3328 3412 4096 4992 5118 6144 6656 6824 9984 10236 11089 12288 13312 13648 19968 20472 22178 26624 27296 33267 39936 40944 44356 53248 54592 66534 79872 81888 88712 109184 133068 159744 163776 177424 218368 266136 327552 354848 436736 532272 655104 709696 873472 1064544 1310208 1419392 1746944 2129088 2620416 2838784 3493888 4258176 5240832 5677568 8516352 10481664 11355136 17032704 22710272 34065408 45420544 68130816 136261632