Search a number
-
+
136649400 = 233521713397
BaseRepresentation
bin10000010010100…
…01101010111000
3100112010111201220
420021101222320
5234440240100
621320512040
73246333516
oct1011215270
9315114656
10136649400
1170153798
123991b620
1322406244
14142114b6
15bee3aa0
hex8251ab8

136649400 has 96 divisors (see below), whose sum is σ = 448565040. Its totient is φ = 34293760.

The previous prime is 136649393. The next prime is 136649411. The reversal of 136649400 is 4946631.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3502 + ... + 16898.

Almost surely, 2136649400 is an apocalyptic number.

136649400 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 136649400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224282520).

136649400 is an abundant number, since it is smaller than the sum of its proper divisors (311915640).

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

136649400 is a wasteful number, since it uses less digits than its factorization.

136649400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13433 (or 13424 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 136649400 is about 11689.7134267697. The cubic root of 136649400 is about 515.0735433981.

The spelling of 136649400 in words is "one hundred thirty-six million, six hundred forty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 13397 26794 40191 53588 66985 80382 107176 133970 160764 200955 227749 267940 321528 334925 401910 455498 535880 669850 683247 803820 910996 1004775 1138745 1339700 1366494 1607640 1821992 2009550 2277490 2679400 2732988 3416235 4019100 4554980 5465976 5693725 6832470 8038200 9109960 11387450 13664940 17081175 22774900 27329880 34162350 45549800 68324700 136649400