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2130429984 = 25322191979
BaseRepresentation
bin111111011111011…
…1100100000100000
312111110210001112020
41332332330200200
513330342224414
6551222301440
7103536233064
oct17676744040
95443701466
102130429984
119a3632641
124b5587880
1327c4b3777
14162d2baa4
15c70787a9
hex7efbc820

2130429984 has 24 divisors (see below), whose sum is σ = 5592378960. Its totient is φ = 710143296.

The previous prime is 2130429979. The next prime is 2130429989. The reversal of 2130429984 is 4899240312.

It is an interprime number because it is at equal distance from previous prime (2130429979) and next prime (2130429989).

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (2130429989) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 11095894 + ... + 11096085.

It is an arithmetic number, because the mean of its divisors is an integer number (233015790).

Almost surely, 22130429984 is an apocalyptic number.

2130429984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2130429984 is an abundant number, since it is smaller than the sum of its proper divisors (3461948976).

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

2130429984 is a wasteful number, since it uses less digits than its factorization.

2130429984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22191992 (or 22191984 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2130429984 is about 46156.5811558872. The cubic root of 2130429984 is about 1286.7349241473.

The spelling of 2130429984 in words is "two billion, one hundred thirty million, four hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 22191979 44383958 66575937 88767916 133151874 177535832 266303748 355071664 532607496 710143328 1065214992 2130429984