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2107335072 = 25323954409
BaseRepresentation
bin111110110011011…
…0110000110100000
312102212022201021010
41331212312012200
513303434210242
6545035300520
7103136024013
oct17546660640
95385281233
102107335072
11991599037
124a98aa740
1327778873b
1415dc3937a
15c501589c
hex7d9b61a0

2107335072 has 48 divisors (see below), whose sum is σ = 5772271680. Its totient is φ = 671903232.

The previous prime is 2107335029. The next prime is 2107335073. The reversal of 2107335072 is 2705337012.

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

It is a super-2 number, since 2×21073350722 = 8881722211362490368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2107335073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 474997 + ... + 479412.

It is an arithmetic number, because the mean of its divisors is an integer number (120255660).

Almost surely, 22107335072 is an apocalyptic number.

It is an amenable number.

2107335072 is an abundant number, since it is smaller than the sum of its proper divisors (3664936608).

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

2107335072 is a wasteful number, since it uses less digits than its factorization.

2107335072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954445 (or 954437 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 2107335072 is about 45905.7193822295. The cubic root of 2107335072 is about 1282.0684070737.

The spelling of 2107335072 in words is "two billion, one hundred seven million, three hundred thirty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 954409 1908818 2863227 3817636 5726454 7635272 11452908 15270544 21951407 22905816 30541088 43902814 45811632 65854221 87805628 91623264 131708442 175611256 263416884 351222512 526833768 702445024 1053667536 2107335072