Search a number
-
+
2460120264 = 2332721315323
BaseRepresentation
bin1001001010100010…
…0111010011001000
320100110011001120100
42102220213103020
520014242322024
61044040525400
7114651451200
oct22250472310
96313131510
102460120264
111052745848
12587a80860
133028a8584
14194a2d400
15e5e9e7c9
hex92a274c8

2460120264 has 144 divisors (see below), whose sum is σ = 7811266320. Its totient is φ = 697394880.

The previous prime is 2460120233. The next prime is 2460120283. The reversal of 2460120264 is 4620210642.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 459507 + ... + 464829.

It is an arithmetic number, because the mean of its divisors is an integer number (54244905).

Almost surely, 22460120264 is an apocalyptic number.

2460120264 is a gapful number since it is divisible by the number (24) 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 2460120264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905633160).

2460120264 is an abundant number, since it is smaller than the sum of its proper divisors (5351146056).

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

2460120264 is a wasteful number, since it uses less digits than its factorization.

2460120264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5480 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2460120264 is about 49599.5994338664. The cubic root of 2460120264 is about 1349.9534074455.

The spelling of 2460120264 in words is "two billion, four hundred sixty million, one hundred twenty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 131 147 168 196 252 262 294 392 393 441 504 524 588 786 882 917 1048 1176 1179 1572 1764 1834 2358 2751 3144 3528 3668 4716 5323 5502 6419 7336 8253 9432 10646 11004 12838 15969 16506 19257 21292 22008 25676 31938 33012 37261 38514 42584 47907 51352 57771 63876 66024 74522 77028 95814 111783 115542 127752 149044 154056 191628 223566 231084 260827 298088 335349 383256 447132 462168 521654 670698 697313 782481 894264 1043308 1341396 1394626 1564962 2086616 2091939 2347443 2682792 2789252 3129924 4183878 4694886 4881191 5578504 6259848 6275817 8367756 9389772 9762382 12551634 14643573 16735512 18779544 19524764 25103268 29287146 34168337 39049528 43930719 50206536 58574292 68336674 87861438 102505011 117148584 136673348 175722876 205010022 273346696 307515033 351445752 410020044 615030066 820040088 1230060132 2460120264