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2113787920 = 24526422349
BaseRepresentation
bin111110111111101…
…1101100000010000
312110022110112220111
41331333131200100
513312112203140
6545425451104
7103244620666
oct17577354020
95408415814
102113787920
119951a6172
124abaa0a94
13278c078aa
14160a38c36
15c588c7ea
hex7dfdd810

2113787920 has 20 divisors (see below), whose sum is σ = 4914557100. Its totient is φ = 845515136.

The previous prime is 2113787899. The next prime is 2113787947. The reversal of 2113787920 is 297873112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1493977104 + 619810816 = 38652^2 + 24896^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×21137879203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13211095 + ... + 13211254.

It is an arithmetic number, because the mean of its divisors is an integer number (245727855).

Almost surely, 22113787920 is an apocalyptic number.

2113787920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113787920 is an abundant number, since it is smaller than the sum of its proper divisors (2800769180).

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

2113787920 is a wasteful number, since it uses less digits than its factorization.

2113787920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26422362 (or 26422356 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 2113787920 is about 45975.9493648581. The cubic root of 2113787920 is about 1283.3756762701.

The spelling of 2113787920 in words is "two billion, one hundred thirteen million, seven hundred eighty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26422349 52844698 105689396 132111745 211378792 264223490 422757584 528446980 1056893960 2113787920