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2142957510 = 232523810639
BaseRepresentation
bin111111110111010…
…1110111111000110
312112100100112001200
41333232232333012
513342044120020
6552351003330
7104050560351
oct17756567706
95470315050
102142957510
119aa709771
124b9809546
13281c7b8c5
1416486d298
15c8200590
hex7fbaefc6

2142957510 has 24 divisors (see below), whose sum is σ = 5571689760. Its totient is φ = 571455312.

The previous prime is 2142957499. The next prime is 2142957563. The reversal of 2142957510 is 157592412.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11905230 + ... + 11905409.

It is an arithmetic number, because the mean of its divisors is an integer number (232153740).

Almost surely, 22142957510 is an apocalyptic number.

2142957510 is an abundant number, since it is smaller than the sum of its proper divisors (3428732250).

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

2142957510 is a wasteful number, since it uses less digits than its factorization.

2142957510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23810652 (or 23810649 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 2142957510 is about 46292.0890649796. The cubic root of 2142957510 is about 1289.2521174244.

The spelling of 2142957510 in words is "two billion, one hundred forty-two million, nine hundred fifty-seven thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 23810639 47621278 71431917 119053195 142863834 214295751 238106390 357159585 428591502 714319170 1071478755 2142957510