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116677632 = 2103191999
BaseRepresentation
bin1101111010001…
…01110000000000
322010112211121210
412331011300000
5214332141012
615324450120
72614513011
oct675056000
9263484553
10116677632
115a9526a5
12330a9940
131b232926
14116d3008
15a39b23c
hex6f45c00

116677632 has 88 divisors (see below), whose sum is σ = 327520000. Its totient is φ = 36827136.

The previous prime is 116677621. The next prime is 116677657. The reversal of 116677632 is 236776611.

It is a super-2 number, since 2×1166776322 = 27227339618254848, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 57369 + ... + 59367.

Almost surely, 2116677632 is an apocalyptic number.

116677632 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 116677632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163760000).

116677632 is an abundant number, since it is smaller than the sum of its proper divisors (210842368).

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

116677632 is a wasteful number, since it uses less digits than its factorization.

116677632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2023 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 116677632 is about 10801.7420817200. The cubic root of 116677632 is about 488.6477111003.

The spelling of 116677632 in words is "one hundred sixteen million, six hundred seventy-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 1999 2432 3072 3648 3998 4864 5997 7296 7996 9728 11994 14592 15992 19456 23988 29184 31984 37981 47976 58368 63968 75962 95952 113943 127936 151924 191904 227886 255872 303848 383808 455772 511744 607696 767616 911544 1023488 1215392 1535232 1823088 2046976 2430784 3070464 3646176 4861568 6140928 7292352 9723136 14584704 19446272 29169408 38892544 58338816 116677632