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2132268740 = 225747324053
BaseRepresentation
bin111111100010111…
…1101011011000100
312111121020110211022
41333011331123010
513331330044430
6551325530312
7103560661640
oct17705753304
95447213738
102132268740
119a4679078
124b6113998
1327c9a86a4
14163289c20
15c72dd4e5
hex7f17d6c4

2132268740 has 48 divisors (see below), whose sum is σ = 5226342912. Its totient is φ = 715506816.

The previous prime is 2132268737. The next prime is 2132268767. The reversal of 2132268740 is 478622312.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2132268740.

It is an unprimeable number.

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, 155447 + ... + 168606.

It is an arithmetic number, because the mean of its divisors is an integer number (108882144).

Almost surely, 22132268740 is an apocalyptic number.

2132268740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132268740 is an abundant number, since it is smaller than the sum of its proper divisors (3094074172).

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

2132268740 is a wasteful number, since it uses less digits than its factorization.

2132268740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324116 (or 324114 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 2132268740 is about 46176.4955361491. The cubic root of 2132268740 is about 1287.1050076855.

The spelling of 2132268740 in words is "two billion, one hundred thirty-two million, two hundred sixty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3290 6580 324053 648106 1296212 1620265 2268371 3240530 4536742 6481060 9073484 11341855 15230491 22683710 30460982 45367420 60921964 76152455 106613437 152304910 213226874 304609820 426453748 533067185 1066134370 2132268740