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2924421120 = 2133257933
BaseRepresentation
bin1010111001001111…
…0010000000000000
321112210210222121100
42232103302000000
521442122433440
61202104254400
7132320112045
oct25623620000
97483728540
102924421120
111270839965
12697471400
13377b415ca
141da5711cc
15121b15230
hexae4f2000

2924421120 has 168 divisors, whose sum is σ = 10138652316. Its totient is φ = 779747328.

The previous prime is 2924421067. The next prime is 2924421127. The reversal of 2924421120 is 211244292.

It can be written as a sum of positive squares in 2 ways, for example, as 2828537856 + 95883264 = 53184^2 + 9792^2 .

It is not an unprimeable number, because it can be changed into a prime (2924421127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364674 + ... + 372606.

Almost surely, 22924421120 is an apocalyptic number.

2924421120 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 2924421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069326158).

2924421120 is an abundant number, since it is smaller than the sum of its proper divisors (7214231196).

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

2924421120 is an equidigital number, since it uses as much as digits as its factorization.

2924421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7970 (or 7943 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2924421120 is about 54077.9171196525. The cubic root of 2924421120 is about 1430.0349022404.

The spelling of 2924421120 in words is "two billion, nine hundred twenty-four million, four hundred twenty-one thousand, one hundred twenty".