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116262936 = 233213911617
BaseRepresentation
bin1101110111000…
…00100000011000
322002202202202200
412323200200120
5214230403221
615311530200
72611134666
oct673404030
9262682680
10116262936
115a69a079
1232b29960
131b118c4a
1411625c36
15a318426
hex6ee0818

116262936 has 48 divisors (see below), whose sum is σ = 317171400. Its totient is φ = 38472192.

The previous prime is 116262931. The next prime is 116262941. The reversal of 116262936 is 639262611.

It is a happy number.

116262936 is a `hidden beast` number, since 1 + 1 + 626 + 29 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (116262931) and next prime (116262941).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 116262936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116262931) by changing a digit.

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, 4200 + ... + 15816.

Almost surely, 2116262936 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 116262936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158585700).

116262936 is an abundant number, since it is smaller than the sum of its proper divisors (200908464).

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

116262936 is a wasteful number, since it uses less digits than its factorization.

116262936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11768 (or 11761 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 116262936 is about 10782.5292023718. The cubic root of 116262936 is about 488.0681061445.

The spelling of 116262936 in words is "one hundred sixteen million, two hundred sixty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1668 2502 3336 5004 10008 11617 23234 34851 46468 69702 92936 104553 139404 209106 278808 418212 836424 1614763 3229526 4844289 6459052 9688578 12918104 14532867 19377156 29065734 38754312 58131468 116262936