Search a number
-
+
2880924930 = 2325132462329
BaseRepresentation
bin1010101110110111…
…0110110100000010
321102202222011001100
42223231312310002
521400004044210
61153512115230
7131251313022
oct25355666402
97382864040
102880924930
1112492305a4
12684995b16
1336bb22610
141d488ba82
1511cdc25c0
hexabb76d02

2880924930 has 48 divisors (see below), whose sum is σ = 8066593080. Its totient is φ = 709150464.

The previous prime is 2880924919. The next prime is 2880924947. The reversal of 2880924930 is 394290882.

It can be written as a sum of positive squares in 4 ways, for example, as 1811438721 + 1069486209 = 42561^2 + 32703^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1229995 + ... + 1232334.

Almost surely, 22880924930 is an apocalyptic number.

2880924930 is an abundant number, since it is smaller than the sum of its proper divisors (5185668150).

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

2880924930 is a wasteful number, since it uses less digits than its factorization.

2880924930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462355 (or 2462352 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2880924930 is about 53674.2482946897. The cubic root of 2880924930 is about 1422.9096146293.

The spelling of 2880924930 in words is "two billion, eight hundred eighty million, nine hundred twenty-four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 2462329 4924658 7386987 12311645 14773974 22160961 24623290 32010277 36934935 44321922 64020554 73869870 96030831 110804805 160051385 192061662 221609610 288092493 320102770 480154155 576184986 960308310 1440462465 2880924930