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1668520368 = 243231337019
BaseRepresentation
bin110001101110011…
…1001100110110000
311022021121121122200
41203130321212300
511404120122433
6433322103200
756230121604
oct14334714660
94267547580
101668520368
11786922059
123a694ab00
132078a6c78
1411b84d504
159b736613
hex637399b0

1668520368 has 60 divisors (see below), whose sum is σ = 4684584840. Its totient is φ = 554381568.

The previous prime is 1668520367. The next prime is 1668520391. The reversal of 1668520368 is 8630258661.

1668520368 is a `hidden beast` number, since 1 + 6 + 68 + 520 + 3 + 68 = 666.

1668520368 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1668520367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26563 + ... + 63581.

It is an arithmetic number, because the mean of its divisors is an integer number (78076414).

Almost surely, 21668520368 is an apocalyptic number.

1668520368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1668520368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342292420).

1668520368 is an abundant number, since it is smaller than the sum of its proper divisors (3016064472).

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

1668520368 is a wasteful number, since it uses less digits than its factorization.

1668520368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37346 (or 37337 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1668520368 is about 40847.5258491870. The cubic root of 1668520368 is about 1186.0704998250.

The spelling of 1668520368 in words is "one billion, six hundred sixty-eight million, five hundred twenty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 313 626 939 1252 1878 2504 2817 3756 5008 5634 7512 11268 15024 22536 37019 45072 74038 111057 148076 222114 296152 333171 444228 592304 666342 888456 1332684 1776912 2665368 5330736 11586947 23173894 34760841 46347788 69521682 92695576 104282523 139043364 185391152 208565046 278086728 417130092 556173456 834260184 1668520368