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116673024 = 293135843
BaseRepresentation
bin1101111010001…
…00101000000000
322010112121022010
412331010220000
5214332014044
615324412520
72614463406
oct675045000
9263477263
10116673024
115a94a196
12330a7140
131b2307c0
14116d1476
15a399bb9
hex6f44a00

116673024 has 80 divisors (see below), whose sum is σ = 334791072. Its totient is φ = 35893248.

The previous prime is 116672999. The next prime is 116673041. The reversal of 116673024 is 420376611.

It is a super-2 number, since 2×1166730242 = 27225189058609152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116672982 and 116673000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17047 + ... + 22889.

Almost surely, 2116673024 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 116673024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167395536).

116673024 is an abundant number, since it is smaller than the sum of its proper divisors (218118048).

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

116673024 is an equidigital number, since it uses as much as digits as its factorization.

116673024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5877 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 116673024 is about 10801.5287806866. The cubic root of 116673024 is about 488.6412782241.

The spelling of 116673024 in words is "one hundred sixteen million, six hundred seventy-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 5843 6656 9984 11686 17529 19968 23372 35058 46744 70116 75959 93488 140232 151918 186976 227877 280464 303836 373952 455754 560928 607672 747904 911508 1121856 1215344 1495808 1823016 2243712 2430688 2991616 3646032 4487424 4861376 7292064 8974848 9722752 14584128 19445504 29168256 38891008 58336512 116673024