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116490825 = 33521129541
BaseRepresentation
bin1101111000110…
…00001001001001
322010012100101000
412330120021021
5214310201300
615320445213
72613104253
oct674301111
9263170330
10116490825
115a835310
1233019809
131b1988a9
1411684cd3
15a360c00
hex6f18249

116490825 has 96 divisors (see below), whose sum is σ = 241948800. Its totient is φ = 54432000.

The previous prime is 116490821. The next prime is 116490841. The reversal of 116490825 is 528094611.

116490825 is a `hidden beast` number, since 1 + 1 + 649 + 0 + 8 + 2 + 5 = 666.

It is not a de Polignac number, because 116490825 - 22 = 116490821 is a prime.

It is a super-2 number, since 2×1164908252 = 27140224618361250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 116490825.

It is not an unprimeable number, because it can be changed into a prime (116490821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215055 + ... + 215595.

It is an arithmetic number, because the mean of its divisors is an integer number (2520300).

Almost surely, 2116490825 is an apocalyptic number.

116490825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116490825 is an abundant number, since it is smaller than the sum of its proper divisors (125457975).

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

116490825 is a wasteful number, since it uses less digits than its factorization.

116490825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 116490825 is about 10793.0915404253. The cubic root of 116490825 is about 488.3867882740.

The spelling of 116490825 in words is "one hundred sixteen million, four hundred ninety thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 29 33 45 55 75 87 99 135 145 165 225 261 275 297 319 435 495 541 675 725 783 825 957 1305 1485 1595 1623 2175 2475 2705 2871 3915 4785 4869 5951 6525 7425 7975 8115 8613 13525 14355 14607 15689 17853 19575 23925 24345 29755 40575 43065 47067 53559 71775 73035 78445 89265 121725 141201 148775 160677 172579 215325 235335 267795 365175 392225 423603 446325 517737 706005 803385 862895 1176675 1338975 1553211 2118015 2588685 3530025 4016925 4314475 4659633 7766055 10590075 12943425 23298165 38830275 116490825