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2124187680 = 25354425391
BaseRepresentation
bin111111010011100…
…1000100000100000
312111001000220200210
41332213020200200
513322243001210
6550440414120
7103432203666
oct17647104040
95431026623
102124187680
119a005970a
124b3477340
1327b1093b4
14162184c36
15c6743e20
hex7e9c8820

2124187680 has 48 divisors (see below), whose sum is σ = 6691192704. Its totient is φ = 566449920.

The previous prime is 2124187633. The next prime is 2124187687. The reversal of 2124187680 is 867814212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2124187687) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2212216 + ... + 2213175.

It is an arithmetic number, because the mean of its divisors is an integer number (139399848).

Almost surely, 22124187680 is an apocalyptic number.

2124187680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124187680 is an abundant number, since it is smaller than the sum of its proper divisors (4567005024).

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

2124187680 is a wasteful number, since it uses less digits than its factorization.

2124187680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425409 (or 4425401 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 2124187680 is about 46088.9105968019. The cubic root of 2124187680 is about 1285.4769545710.

The spelling of 2124187680 in words is "two billion, one hundred twenty-four million, one hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4425391 8850782 13276173 17701564 22126955 26552346 35403128 44253910 53104692 66380865 70806256 88507820 106209384 132761730 141612512 177015640 212418768 265523460 354031280 424837536 531046920 708062560 1062093840 2124187680