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116841088 = 2772131433
BaseRepresentation
bin1101111011011…
…01101010000000
322010212010211201
412331231222000
5214402403323
615332150544
72616063400
oct675555200
9263763751
10116841088
115aa54491
1233168454
131b28c150
1411736800
15a3ce8ad
hex6f6da80

116841088 has 96 divisors (see below), whose sum is σ = 291804660. Its totient is φ = 46190592.

The previous prime is 116841071. The next prime is 116841161. The reversal of 116841088 is 880148611.

It can be written as a sum of positive squares in 2 ways, for example, as 116812864 + 28224 = 10808^2 + 168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80820 + ... + 82252.

Almost surely, 2116841088 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 116841088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145902330).

116841088 is an abundant number, since it is smaller than the sum of its proper divisors (174963572).

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

116841088 is a wasteful number, since it uses less digits than its factorization.

116841088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 37.

The square root of 116841088 is about 10809.3056206215. The cubic root of 116841088 is about 488.8757900378.

Adding to 116841088 its reverse (880148611), we get a palindrome (996989699).

The spelling of 116841088 in words is "one hundred sixteen million, eight hundred forty-one thousand, eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 364 392 416 448 637 728 784 832 896 1274 1433 1456 1568 1664 2548 2866 2912 3136 5096 5732 5824 6272 10031 10192 11464 11648 18629 20062 20384 22928 37258 40124 40768 45856 70217 74516 80248 81536 91712 130403 140434 149032 160496 183424 260806 280868 298064 320992 521612 561736 596128 641984 912821 1043224 1123472 1192256 1283968 1825642 2086448 2246944 2384512 3651284 4172896 4493888 7302568 8345792 8987776 14605136 16691584 29210272 58420544 116841088