Search a number
-
+
116553088 = 2717291847
BaseRepresentation
bin1101111001001…
…11010110000000
322010022111210001
412330213112000
5214314144323
615322045344
72613453631
oct674472600
9263274701
10116553088
115a878073
1233049854
131b1bb032
141169d888
15a3743ad
hex6f27580

116553088 has 64 divisors (see below), whose sum is σ = 254469600. Its totient is φ = 52928512.

The previous prime is 116553083. The next prime is 116553097. The reversal of 116553088 is 880355611.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116553083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62181 + ... + 64027.

Almost surely, 2116553088 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 116553088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127234800).

116553088 is an abundant number, since it is smaller than the sum of its proper divisors (137916512).

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

116553088 is a wasteful number, since it uses less digits than its factorization.

116553088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 116553088 is about 10795.9755464710. The cubic root of 116553088 is about 488.4737851414.

The spelling of 116553088 in words is "one hundred sixteen million, five hundred fifty-three thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 232 272 464 493 544 928 986 1088 1847 1856 1972 2176 3694 3712 3944 7388 7888 14776 15776 29552 31399 31552 53563 59104 62798 63104 107126 118208 125596 214252 236416 251192 428504 502384 857008 910571 1004768 1714016 1821142 2009536 3428032 3642284 4019072 6856064 7284568 14569136 29138272 58276544 116553088