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2141140660 = 225846112653
BaseRepresentation
bin111111110011111…
…0011011010110100
312112012221012210221
41333213303122310
513341113000120
6552244024124
7104026252411
oct17747633264
95465835727
102141140660
119a968873a
124b9092044
13281793949
14164519108
15c7e920aa
hex7f9f36b4

2141140660 has 24 divisors (see below), whose sum is σ = 4497282216. Its totient is φ = 856287360.

The previous prime is 2141140627. The next prime is 2141140669. The reversal of 2141140660 is 660411412.

It can be written as a sum of positive squares in 4 ways, for example, as 44782864 + 2096357796 = 6692^2 + 45786^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141140669) 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, 162894 + ... + 175546.

It is an arithmetic number, because the mean of its divisors is an integer number (187386759).

Almost surely, 22141140660 is an apocalyptic number.

2141140660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141140660 is an abundant number, since it is smaller than the sum of its proper divisors (2356141556).

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

2141140660 is a wasteful number, since it uses less digits than its factorization.

2141140660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21123 (or 21121 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2141140660 is about 46272.4611405099. The cubic root of 2141140660 is about 1288.8876616065.

The spelling of 2141140660 in words is "two billion, one hundred forty-one million, one hundred forty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 8461 12653 16922 25306 33844 42305 50612 63265 84610 126530 169220 253060 107057033 214114066 428228132 535285165 1070570330 2141140660