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116246952 = 233217731301
BaseRepresentation
bin1101110110111…
…00100110101000
322002201221211200
412323130212220
5214224400302
615311324200
72611040253
oct673344650
9262657750
10116246952
115a689068
1232b20660
131b1118a3
141162009a
15a31381c
hex6edc9a8

116246952 has 96 divisors (see below), whose sum is σ = 338181480. Its totient is φ = 35942400.

The previous prime is 116246939. The next prime is 116246953. The reversal of 116246952 is 259642611.

It can be written as a sum of positive squares in 4 ways, for example, as 80892036 + 35354916 = 8994^2 + 5946^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (116246953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88702 + ... + 90002.

Almost surely, 2116246952 is an apocalyptic number.

116246952 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 116246952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169090740).

116246952 is an abundant number, since it is smaller than the sum of its proper divisors (221934528).

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

116246952 is a wasteful number, since it uses less digits than its factorization.

116246952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1396 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 116246952 is about 10781.7879778820. The cubic root of 116246952 is about 488.0457383449.

The spelling of 116246952 in words is "one hundred sixteen million, two hundred forty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 73 102 136 146 153 204 219 292 306 408 438 584 612 657 876 1224 1241 1301 1314 1752 2482 2602 2628 3723 3903 4964 5204 5256 7446 7806 9928 10408 11169 11709 14892 15612 22117 22338 23418 29784 31224 44234 44676 46836 66351 88468 89352 93672 94973 132702 176936 189946 199053 265404 284919 379892 398106 530808 569838 759784 796212 854757 1139676 1592424 1614541 1709514 2279352 3229082 3419028 4843623 6458164 6838056 9687246 12916328 14530869 19374492 29061738 38748984 58123476 116246952