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116673088 = 267312271
BaseRepresentation
bin1101111010001…
…00101001000000
322010112121101111
412331010221000
5214332014323
615324413104
72614463530
oct675045100
9263477344
10116673088
115a94a244
12330a7194
131b23083c
14116d14c0
15a399c0d
hex6f44a40

116673088 has 84 divisors (see below), whose sum is σ = 274417536. Its totient is φ = 48211200.

The previous prime is 116673071. The next prime is 116673097. The reversal of 116673088 is 880376611.

It is a super-2 number, since 2×1166730882 = 27225218926911488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 116673088.

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 11 ways as a sum of consecutive naturals, for example, 430393 + ... + 430663.

Almost surely, 2116673088 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 116673088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137208768).

116673088 is an abundant number, since it is smaller than the sum of its proper divisors (157744448).

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

116673088 is an equidigital number, since it uses as much as digits as its factorization.

116673088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 116673088 is about 10801.5317432298. The cubic root of 116673088 is about 488.6413675708.

The spelling of 116673088 in words is "one hundred sixteen million, six hundred seventy-three thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 271 434 448 496 542 868 961 992 1084 1736 1897 1922 1984 2168 3472 3794 3844 4336 6727 6944 7588 7688 8401 8672 13454 13888 15176 15376 16802 17344 26908 30352 30752 33604 53816 58807 60704 61504 67208 107632 117614 121408 134416 215264 235228 260431 268832 430528 470456 520862 537664 940912 1041724 1823017 1881824 2083448 3646034 3763648 4166896 7292068 8333792 14584136 16667584 29168272 58336544 116673088