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2160074916 = 2232314394409
BaseRepresentation
bin1000000011000000…
…0010000010100100
312120112120011201200
42000300002002210
513410434344131
6554201522500
7104346222336
oct20060020244
95515504650
102160074916
11a0934028a
125034a3430
13285692c4c
14166c47456
15c99822e6
hex80c020a4

2160074916 has 72 divisors (see below), whose sum is σ = 5650444800. Its totient is φ = 695053440.

The previous prime is 2160074887. The next prime is 2160074921. The reversal of 2160074916 is 6194700612.

2160074916 is a `hidden beast` number, since 2 + 1 + 600 + 7 + 49 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487720 + ... + 492128.

It is an arithmetic number, because the mean of its divisors is an integer number (78478400).

Almost surely, 22160074916 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 2160074916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825222400).

2160074916 is an abundant number, since it is smaller than the sum of its proper divisors (3490369884).

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

2160074916 is a wasteful number, since it uses less digits than its factorization.

2160074916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2160074916 is about 46476.6061153351. The cubic root of 2160074916 is about 1292.6757584417.

The spelling of 2160074916 in words is "two billion, one hundred sixty million, seventy-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 439 558 878 1116 1317 1756 2634 3951 4409 5268 7902 8818 13227 13609 15804 17636 26454 27218 39681 40827 52908 54436 79362 81654 122481 136679 158724 163308 244962 273358 410037 489924 546716 820074 1230111 1640148 1935551 2460222 3871102 4920444 5806653 7742204 11613306 17419959 23226612 34839918 60002081 69679836 120004162 180006243 240008324 360012486 540018729 720024972 1080037458 2160074916