Search a number
-
+
900626136 = 233173122297
BaseRepresentation
bin110101101011100…
…111011011011000
32022202200112210120
4311223213123120
53321030014021
6225211313240
731214124114
oct6553473330
92282615716
10900626136
1142241a823
1221174b820
13114785697
1487880744
15541022c6
hex35ae76d8

900626136 has 96 divisors (see below), whose sum is σ = 2464467120. Its totient is φ = 273315840.

The previous prime is 900626123. The next prime is 900626141. The reversal of 900626136 is 631626009.

It is a happy number.

It is a super-2 number, since 2×9006261362 = 1622254873692580992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 900626097 and 900626106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390940 + ... + 393236.

Almost surely, 2900626136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900626136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232233560).

900626136 is an abundant number, since it is smaller than the sum of its proper divisors (1563840984).

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

900626136 is a wasteful number, since it uses less digits than its factorization.

900626136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 900626136 is about 30010.4337856020. The cubic root of 900626136 is about 965.7132318368.

The spelling of 900626136 in words is "nine hundred million, six hundred twenty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 408 527 744 961 1054 1581 1922 2108 2297 2883 3162 3844 4216 4594 5766 6324 6891 7688 9188 11532 12648 13782 16337 18376 23064 27564 32674 39049 49011 55128 65348 71207 78098 98022 117147 130696 142414 156196 196044 213621 234294 284828 312392 392088 427242 468588 569656 854484 937176 1210519 1708968 2207417 2421038 3631557 4414834 4842076 6622251 7263114 8829668 9684152 13244502 14526228 17659336 26489004 29052456 37526089 52978008 75052178 112578267 150104356 225156534 300208712 450313068 900626136