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2132928960 = 26353171671
BaseRepresentation
bin111111100100001…
…1110100111000000
312111122111000110220
41333020132213000
513332012211320
6551352023040
7103566411531
oct17710364700
95448430426
102132928960
119a4a8a108
124b6391a80
1327cb7a056
141633bc688
15c73bde40
hex7f21e9c0

2132928960 has 112 divisors (see below), whose sum is σ = 6990600192. Its totient is φ = 550425600.

The previous prime is 2132928893. The next prime is 2132928977. The reversal of 2132928960 is 698292312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6076 + ... + 65595.

Almost surely, 22132928960 is an apocalyptic number.

2132928960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495300096).

2132928960 is an abundant number, since it is smaller than the sum of its proper divisors (4857671232).

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

2132928960 is a wasteful number, since it uses less digits than its factorization.

2132928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71722 (or 71712 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 2132928960 is about 46183.6438579721. The cubic root of 2132928960 is about 1287.2378372177.

The spelling of 2132928960 in words is "two billion, one hundred thirty-two million, nine hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 4960 5952 7440 9920 14880 29760 71671 143342 215013 286684 358355 430026 573368 716710 860052 1075065 1146736 1433420 1720104 2150130 2221801 2293472 2866840 3440208 4300260 4443602 4586944 5733680 6665403 6880416 8600520 8887204 11109005 11467360 13330806 13760832 17201040 17774408 22218010 22934720 26661612 33327015 34402080 35548816 44436020 53323224 66654030 68804160 71097632 88872040 106646448 133308060 142195264 177744080 213292896 266616120 355488160 426585792 533232240 710976320 1066464480 2132928960