[go: up one dir, main page]

Search a number
-
+
136004352 = 2831117947
BaseRepresentation
bin10000001101101…
…00001100000000
3100110220201220020
420012310030000
5234304114402
621255013440
73241006101
oct1006641400
9313821806
10136004352
116a8530a0
123966a280
132223b763
14140c43a8
15be178bc
hex81b4300

136004352 has 144 divisors (see below), whose sum is σ = 418545792. Its totient is φ = 38748160.

The previous prime is 136004333. The next prime is 136004357. The reversal of 136004352 is 253400631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (136004357) 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, 143143 + ... + 144089.

It is an arithmetic number, because the mean of its divisors is an integer number (2906568).

Almost surely, 2136004352 is an apocalyptic number.

136004352 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 136004352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209272896).

136004352 is an abundant number, since it is smaller than the sum of its proper divisors (282541440).

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

136004352 is a wasteful number, since it uses less digits than its factorization.

136004352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 136004352 is about 11662.0903786585. The cubic root of 136004352 is about 514.2618034739.

Adding to 136004352 its reverse (253400631), we get a palindrome (389404983).

The spelling of 136004352 in words is "one hundred thirty-six million, four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 256 264 272 352 374 384 408 528 544 561 704 748 768 816 947 1056 1088 1122 1408 1496 1632 1894 2112 2176 2244 2816 2841 2992 3264 3788 4224 4352 4488 5682 5984 6528 7576 8448 8976 10417 11364 11968 13056 15152 16099 17952 20834 22728 23936 30304 31251 32198 35904 41668 45456 47872 48297 60608 62502 64396 71808 83336 90912 96594 121216 125004 128792 143616 166672 177089 181824 193188 242432 250008 257584 333344 354178 363648 386376 500016 515168 531267 666688 708356 727296 772752 1000032 1030336 1062534 1333376 1416712 1545504 2000064 2060672 2125068 2666752 2833424 3091008 4000128 4121344 4250136 5666848 6182016 8000256 8500272 11333696 12364032 17000544 22667392 34001088 45334784 68002176 136004352