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2132256060 = 22325114092633
BaseRepresentation
bin111111100010111…
…1010010100111100
312111121012211102200
41333011322110330
513331324143220
6551325351500
7103560606654
oct17705722474
95447184380
102132256060
119a466a5a0
124b6108590
1327c9a299c
14163285364
15c72d9890
hex7f17a53c

2132256060 has 144 divisors (see below), whose sum is σ = 7075766880. Its totient is φ = 515450880.

The previous prime is 2132256053. The next prime is 2132256073. The reversal of 2132256060 is 606522312.

2132256060 is a `hidden beast` number, since 2 + 1 + 32 + 25 + 606 + 0 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 808504 + ... + 811136.

It is an arithmetic number, because the mean of its divisors is an integer number (49137270).

Almost surely, 22132256060 is an apocalyptic number.

2132256060 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 2132256060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537883440).

2132256060 is an abundant number, since it is smaller than the sum of its proper divisors (4943510820).

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

2132256060 is a wasteful number, since it uses less digits than its factorization.

2132256060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2132256060 is about 46176.3582366561. The cubic root of 2132256060 is about 1287.1024563305.

Adding to 2132256060 its reverse (606522312), we get a palindrome (2738778372).

The spelling of 2132256060 in words is "two billion, one hundred thirty-two million, two hundred fifty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 409 495 660 818 990 1227 1636 1980 2045 2454 2633 3681 4090 4499 4908 5266 6135 7362 7899 8180 8998 10532 12270 13165 13497 14724 15798 17996 18405 22495 23697 24540 26330 26994 28963 31596 36810 39495 40491 44990 47394 52660 53988 57926 67485 73620 78990 80982 86889 89980 94788 115852 118485 134970 144815 157980 161964 173778 202455 236970 260667 269940 289630 347556 404910 434445 473940 521334 579260 809820 868890 1042668 1076897 1303335 1737780 2153794 2606670 3230691 4307588 5213340 5384485 6461382 9692073 10768970 11845867 12922764 16153455 19384146 21537940 23691734 32306910 35537601 38768292 47383468 48460365 59229335 64613820 71075202 96920730 106612803 118458670 142150404 177688005 193841460 213225606 236917340 355376010 426451212 533064015 710752020 1066128030 2132256060