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2132535720 = 233572538733
BaseRepresentation
bin111111100011011…
…1110100110101000
312111121202001001110
41333012332212220
513331412120340
6551335350320
7103563153210
oct17706764650
95447661043
102132535720
119a4840717
124b62223a0
1327ca70073
14163319240
15c7342680
hex7f1be9a8

2132535720 has 64 divisors (see below), whose sum is σ = 7311553920. Its totient is φ = 487436544.

The previous prime is 2132535667. The next prime is 2132535721. The reversal of 2132535720 is 275352312.

It is a happy number.

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 (2132535721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1268527 + ... + 1270206.

It is an arithmetic number, because the mean of its divisors is an integer number (114243030).

Almost surely, 22132535720 is an apocalyptic number.

2132535720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132535720 is an abundant number, since it is smaller than the sum of its proper divisors (5179018200).

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

2132535720 is a wasteful number, since it uses less digits than its factorization.

2132535720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538754 (or 2538750 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 2132535720 is about 46179.3863103441. The cubic root of 2132535720 is about 1287.1587246408.

The spelling of 2132535720 in words is "two billion, one hundred thirty-two million, five hundred thirty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2538733 5077466 7616199 10154932 12693665 15232398 17771131 20309864 25387330 30464796 35542262 38080995 50774660 53313393 60929592 71084524 76161990 88855655 101549320 106626786 142169048 152323980 177711310 213253572 266566965 304647960 355422620 426507144 533133930 710845240 1066267860 2132535720