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116133048 = 23332232411
BaseRepresentation
bin1101110110000…
…00110010111000
322002112011121000
412323000302320
5214212224143
615305045000
72610054213
oct673006270
9262464530
10116133048
115a610529
1232a86760
131b0a1aa5
14115d077a
15a2debd3
hex6ec0cb8

116133048 has 64 divisors (see below), whose sum is σ = 324172800. Its totient is φ = 38521440.

The previous prime is 116133013. The next prime is 116133079. The reversal of 116133048 is 840331611.

116133048 is a `hidden beast` number, since 1 + 1 + 613 + 3 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46963 + ... + 49373.

It is an arithmetic number, because the mean of its divisors is an integer number (5065200).

Almost surely, 2116133048 is an apocalyptic number.

116133048 is a gapful number since it is divisible by the number (18) 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 116133048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162086400).

116133048 is an abundant number, since it is smaller than the sum of its proper divisors (208039752).

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

116133048 is a wasteful number, since it uses less digits than its factorization.

116133048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 116133048 is about 10776.5044425361. The cubic root of 116133048 is about 487.8862831868.

Adding to 116133048 its reverse (840331611), we get a palindrome (956464659).

The spelling of 116133048 in words is "one hundred sixteen million, one hundred thirty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 223 446 669 892 1338 1784 2007 2411 2676 4014 4822 5352 6021 7233 8028 9644 12042 14466 16056 19288 21699 24084 28932 43398 48168 57864 65097 86796 130194 173592 260388 520776 537653 1075306 1612959 2150612 3225918 4301224 4838877 6451836 9677754 12903672 14516631 19355508 29033262 38711016 58066524 116133048