Search a number
-
+
2931940872 = 2332723072707
BaseRepresentation
bin1010111011000001…
…1101111000001000
321120022222000202200
42232300131320020
522001034101442
61202533400200
7132441041400
oct25660357010
97508860680
102931940872
111275005633
12699a99060
13379575273
141db56b800
151225ed34c
hexaec1de08

2931940872 has 144 divisors (see below), whose sum is σ = 9270621360. Its totient is φ = 834660288.

The previous prime is 2931940871. The next prime is 2931940883. The reversal of 2931940872 is 2780491392.

It is not an unprimeable number, because it can be changed into a prime (2931940871) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1081743 + ... + 1084449.

It is an arithmetic number, because the mean of its divisors is an integer number (64379315).

Almost surely, 22931940872 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 2931940872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635310680).

2931940872 is an abundant number, since it is smaller than the sum of its proper divisors (6338680488).

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

2931940872 is a wasteful number, since it uses less digits than its factorization.

2931940872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2931940872 is about 54147.3994943432. The cubic root of 2931940872 is about 1431.2595667076.

The spelling of 2931940872 in words is "two billion, nine hundred thirty-one million, nine hundred forty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 307 392 441 504 588 614 882 921 1176 1228 1764 1842 2149 2456 2707 2763 3528 3684 4298 5414 5526 6447 7368 8121 8596 10828 11052 12894 15043 16242 17192 18949 19341 21656 22104 24363 25788 30086 32484 37898 38682 45129 48726 51576 56847 60172 64968 75796 77364 90258 97452 113694 120344 132643 135387 151592 154728 170541 180516 194904 227388 265286 270774 341082 361032 397929 454776 530572 541548 682164 795858 831049 1061144 1083096 1193787 1364328 1591716 1662098 2387574 2493147 3183432 3324196 4775148 4986294 5817343 6648392 7479441 9550296 9972588 11634686 14958882 17452029 19945176 23269372 29917764 34904058 40721401 46538744 52356087 59835528 69808116 81442802 104712174 122164203 139616232 162885604 209424348 244328406 325771208 366492609 418848696 488656812 732985218 977313624 1465970436 2931940872