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2120765232 = 243174232
BaseRepresentation
bin111111001101000…
…0100111100110000
312110210121000222110
41332122010330300
513320403441412
6550235205320
7103361131005
oct17632047460
95423530873
102120765232
11999131343
124b22a6840
1327a4ab691
141619338ac
15c62b9d3c
hex7e684f30

2120765232 has 150 divisors (see below), whose sum is σ = 6085147852. Its totient is φ = 636410368.

The previous prime is 2120765219. The next prime is 2120765233. The reversal of 2120765232 is 2325670212.

It is a self number, because there is not a number n which added to its sum of digits gives 2120765232.

It is not an unprimeable number, because it can be changed into a prime (2120765233) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 92207173 + ... + 92207195.

Almost surely, 22120765232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120765232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042573926).

2120765232 is an abundant number, since it is smaller than the sum of its proper divisors (3964382620).

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

2120765232 is an frugal number, since it uses more digits than its factorization.

2120765232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2120765232 is about 46051.7668716413. The cubic root of 2120765232 is about 1284.7862053536.

The spelling of 2120765232 in words is "two billion, one hundred twenty million, seven hundred sixty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 289 368 391 408 529 552 578 782 816 867 1058 1104 1156 1173 1564 1587 1734 2116 2312 2346 3128 3174 3468 4232 4624 4692 4913 6256 6348 6647 6936 8464 8993 9384 9826 12696 13294 13872 14739 17986 18768 19652 19941 25392 26588 26979 29478 35972 39304 39882 53176 53958 58956 71944 78608 79764 83521 106352 107916 112999 117912 143888 152881 159528 167042 215832 225998 235824 250563 305762 319056 334084 338997 431664 451996 458643 501126 611524 668168 677994 903992 917286 1002252 1223048 1336336 1355988 1807984 1834572 1920983 2004504 2446096 2598977 2711976 3669144 3841966 4009008 5197954 5423952 5762949 7338288 7683932 7796931 10395908 11525898 15367864 15593862 20791816 23051796 30735728 31187724 41583632 44182609 46103592 62375448 88365218 92207184 124750896 132547827 176730436 265095654 353460872 530191308 706921744 1060382616 2120765232