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2130099984 = 24336477621
BaseRepresentation
bin111111011110110…
…1011111100010000
312111110011021212000
41332331223330100
513330301144414
6551211234000
7103533360015
oct17675537420
95443137760
102130099984
119a3427711
124b5448900
1327c3c94bc
14162c8370c
15c7010b09
hex7ef6bf10

2130099984 has 80 divisors (see below), whose sum is σ = 6124429440. Its totient is φ = 708842880.

The previous prime is 2130099919. The next prime is 2130100001. The reversal of 2130099984 is 4899900312.

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, 275694 + ... + 283314.

It is an arithmetic number, because the mean of its divisors is an integer number (76555368).

Almost surely, 22130099984 is an apocalyptic number.

2130099984 is a gapful number since it is divisible by the number (24) 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 2130099984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062214720).

2130099984 is an abundant number, since it is smaller than the sum of its proper divisors (3994329456).

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

2130099984 is a wasteful number, since it uses less digits than its factorization.

2130099984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8285 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2130099984 is about 46153.0062292804. The cubic root of 2130099984 is about 1286.6684830290.

The spelling of 2130099984 in words is "two billion, one hundred thirty million, ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 647 1294 1941 2588 3882 5176 5823 7621 7764 10352 11646 15242 15528 17469 22863 23292 30484 31056 34938 45726 46584 60968 68589 69876 91452 93168 121936 137178 139752 182904 205767 274356 279504 365808 411534 548712 823068 1097424 1646136 3292272 4930787 9861574 14792361 19723148 29584722 39446296 44377083 59169444 78892592 88754166 118338888 133131249 177508332 236677776 266262498 355016664 532524996 710033328 1065049992 2130099984