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494916120 = 233255325939
BaseRepresentation
bin11101011111111…
…101001000011000
31021111021100021200
4131133331020120
52003144303440
6121035434200
715156501066
oct3537751030
91244240250
10494916120
11234404896
121198b5960
137b6c509a
1449a31036
152d6b1c30
hex1d7fd218

494916120 has 96 divisors (see below), whose sum is σ = 1638889200. Its totient is φ = 129482496.

The previous prime is 494916113. The next prime is 494916179. The reversal of 494916120 is 21619494.

It is a happy number.

494916120 is a `hidden beast` number, since 49 + 491 + 6 + 120 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6111 + ... + 32049.

Almost surely, 2494916120 is an apocalyptic number.

494916120 is a gapful number since it is divisible by the number (40) 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 494916120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819444600).

494916120 is an abundant number, since it is smaller than the sum of its proper divisors (1143973080).

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

494916120 is a wasteful number, since it uses less digits than its factorization.

494916120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26009 (or 26002 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 494916120 is about 22246.7103186067. The cubic root of 494916120 is about 791.0013047096.

It can be divided in two parts, 49491 and 6120, that added together give a triangular number (55611 = T333).

The spelling of 494916120 in words is "four hundred ninety-four million, nine hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 19080 25939 51878 77817 103756 129695 155634 207512 233451 259390 311268 389085 466902 518780 622536 778170 933804 1037560 1167255 1374767 1556340 1867608 2334510 2749534 3112680 4124301 4669020 5499068 6873835 8248602 9338040 10998136 12372903 13747670 16497204 20621505 24745806 27495340 32994408 41243010 49491612 54990680 61864515 82486020 98983224 123729030 164972040 247458060 494916120