Search a number
-
+
2330076920 = 235294334639
BaseRepresentation
bin1000101011100010…
…0010011011111000
320000101110011122012
42022320202123320
514232444430140
61023113345052
7111512220113
oct21270423370
96011404565
102330076920
11a962a4306
12550408188
132b1976152
1418165b57a
15d9863265
hex8ae226f8

2330076920 has 64 divisors (see below), whose sum is σ = 5437152000. Its totient is φ = 897619968.

The previous prime is 2330076919. The next prime is 2330076937. The reversal of 2330076920 is 296700332.

It is a happy number.

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, 499961 + ... + 504599.

It is an arithmetic number, because the mean of its divisors is an integer number (84955500).

Almost surely, 22330076920 is an apocalyptic number.

2330076920 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 2330076920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718576000).

2330076920 is an abundant number, since it is smaller than the sum of its proper divisors (3107075080).

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

2330076920 is a wasteful number, since it uses less digits than its factorization.

2330076920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 32.

The square root of 2330076920 is about 48270.8703049779. The cubic root of 2330076920 is about 1325.7350937056.

The spelling of 2330076920 in words is "two billion, three hundred thirty million, seventy-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 433 580 866 1160 1732 2165 3464 4330 4639 8660 9278 12557 17320 18556 23195 25114 37112 46390 50228 62785 92780 100456 125570 134531 185560 251140 269062 502280 538124 672655 1076248 1345310 2008687 2690620 4017374 5381240 8034748 10043435 16069496 20086870 40173740 58251923 80347480 116503846 233007692 291259615 466015384 582519230 1165038460 2330076920