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2137641060 = 223535627351
BaseRepresentation
bin111111101101001…
…1101000001100100
312111222100102021010
41333122131001210
513334214003220
6552041022220
7103654435452
oct17732350144
95458312233
102137641060
119a7708405
124b7a84970
13280b39a89
14163c879d2
15c7a001e0
hex7f69d064

2137641060 has 24 divisors (see below), whose sum is σ = 5985395136. Its totient is φ = 570037600.

The previous prime is 2137641043. The next prime is 2137641061. The reversal of 2137641060 is 601467312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2137641061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17813616 + ... + 17813735.

It is an arithmetic number, because the mean of its divisors is an integer number (249391464).

Almost surely, 22137641060 is an apocalyptic number.

2137641060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137641060 is an abundant number, since it is smaller than the sum of its proper divisors (3847754076).

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

2137641060 is a wasteful number, since it uses less digits than its factorization.

2137641060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35627363 (or 35627361 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2137641060 is about 46234.6305273439. The cubic root of 2137641060 is about 1288.1850686642.

The spelling of 2137641060 in words is "two billion, one hundred thirty-seven million, six hundred forty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 35627351 71254702 106882053 142509404 178136755 213764106 356273510 427528212 534410265 712547020 1068820530 2137641060