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2107620468 = 223258545013
BaseRepresentation
bin111110110011111…
…1011110001110100
312102212212012202100
41331213323301310
513304022323333
6545045342100
7103141323042
oct17547736164
95385765670
102107620468
119917734a8
124a9a07930
13277858605
1415dcb1392
15c5070213
hex7d9fbc74

2107620468 has 18 divisors (see below), whose sum is σ = 5327596274. Its totient is φ = 702540144.

The previous prime is 2107620413. The next prime is 2107620469. The reversal of 2107620468 is 8640267012.

2107620468 is a `hidden beast` number, since 21 + 0 + 7 + 620 + 4 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2078265744 + 29354724 = 45588^2 + 5418^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 58545013 = 2107620468 / (2 + 1 + 0 + 7 + 6 + 2 + 0 + 4 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107620469) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29272471 + ... + 29272542.

Almost surely, 22107620468 is an apocalyptic number.

It is an amenable number.

2107620468 is an abundant number, since it is smaller than the sum of its proper divisors (3219975806).

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

2107620468 is a wasteful number, since it uses less digits than its factorization.

2107620468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58545023 (or 58545018 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2107620468 is about 45908.8277785439. The cubic root of 2107620468 is about 1282.1262812238.

The spelling of 2107620468 in words is "two billion, one hundred seven million, six hundred twenty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 58545013 117090026 175635039 234180052 351270078 526905117 702540156 1053810234 2107620468