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116876925 = 365211253
BaseRepresentation
bin1101111011101…
…10011001111101
322010220222000000
412331312121331
5214410030200
615333024513
72616303024
oct675663175
9263828000
10116876925
115aa79400
1233185139
131b2a2559
14117458bb
15a3da300
hex6f7667d

116876925 has 126 divisors (see below), whose sum is σ = 243347706. Its totient is φ = 55598400.

The previous prime is 116876891. The next prime is 116876971. The reversal of 116876925 is 529678611.

It can be written as a sum of positive squares in 3 ways, for example, as 14907321 + 101969604 = 3861^2 + 10098^2 .

It is not a de Polignac number, because 116876925 - 26 = 116876861 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (181440) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 2205199 + ... + 2205251.

It is an arithmetic number, because the mean of its divisors is an integer number (1931331).

Almost surely, 2116876925 is an apocalyptic number.

116876925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116876925 is an abundant number, since it is smaller than the sum of its proper divisors (126470781).

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

116876925 is an equidigital number, since it uses as much as digits as its factorization.

116876925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 116876925 is about 10810.9631855816. The cubic root of 116876925 is about 488.9257668941.

The spelling of 116876925 in words is "one hundred sixteen million, eight hundred seventy-six thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 53 55 75 81 99 121 135 159 165 225 243 265 275 297 363 405 477 495 583 605 675 729 795 825 891 1089 1215 1325 1431 1485 1749 1815 2025 2385 2475 2673 2915 3025 3267 3645 3975 4293 4455 5247 5445 6075 6413 7155 7425 8019 8745 9075 9801 11925 12879 13365 14575 15741 16335 18225 19239 21465 22275 26235 27225 29403 32065 35775 38637 40095 43725 47223 49005 57717 64395 66825 78705 81675 88209 96195 107325 131175 141669 147015 160325 173151 193185 200475 236115 245025 288585 321975 393525 425007 441045 480975 519453 708345 735075 865755 965925 1180575 1442925 1558359 2125035 2205225 2597265 3541725 4328775 4675077 7791795 10625175 12986325 23375385 38958975 116876925