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83130516 = 22337109961
BaseRepresentation
bin1001111010001…
…11100010010100
312210102110122000
410331013202110
5132240134031
612125435300
72026412010
oct475074224
9183373560
1083130516
1142a1a207
1223a0bb30
13142b8271
14b07d540
1574713e6
hex4f47894

83130516 has 48 divisors (see below), whose sum is σ = 246314880. Its totient is φ = 23751360.

The previous prime is 83130473. The next prime is 83130521. The reversal of 83130516 is 61503138.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83130516.

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, 54225 + ... + 55736.

It is an arithmetic number, because the mean of its divisors is an integer number (5131560).

Almost surely, 283130516 is an apocalyptic number.

It is an amenable number.

83130516 is an abundant number, since it is smaller than the sum of its proper divisors (163184364).

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

83130516 is a wasteful number, since it uses less digits than its factorization.

83130516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109981 (or 109973 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 83130516 is about 9117.5937615141. The cubic root of 83130516 is about 436.4355899812.

The spelling of 83130516 in words is "eighty-three million, one hundred thirty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 109961 219922 329883 439844 659766 769727 989649 1319532 1539454 1979298 2309181 2968947 3078908 3958596 4618362 5937894 6927543 9236724 11875788 13855086 20782629 27710172 41565258 83130516