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2516016 = 243234353
BaseRepresentation
bin1001100110010000110000
311201211022210
421212100300
51121003031
6125532120
730246216
oct11462060
94654283
102516016
111469358
12a14040
136a1289
14496cb6
1534a746
hex266430

2516016 has 80 divisors (see below), whose sum is σ = 7070976. Its totient is φ = 768768.

The previous prime is 2515967. The next prime is 2516021. The reversal of 2516016 is 6106152.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2515983 and 2516001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47446 + ... + 47498.

22516016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2516016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535488).

2516016 is an abundant number, since it is smaller than the sum of its proper divisors (4554960).

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

2516016 is a wasteful number, since it uses less digits than its factorization.

2516016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2516016 is about 1586.1954482345. The cubic root of 2516016 is about 136.0100915234.

The spelling of 2516016 in words is "two million, five hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 43 46 48 53 69 86 92 106 129 138 159 172 184 212 258 276 318 344 368 424 516 552 636 688 848 989 1032 1104 1219 1272 1978 2064 2279 2438 2544 2967 3657 3956 4558 4876 5934 6837 7314 7912 9116 9752 11868 13674 14628 15824 18232 19504 23736 27348 29256 36464 47472 52417 54696 58512 104834 109392 157251 209668 314502 419336 629004 838672 1258008 2516016