Search a number
-
+
2952430920 = 233258201197
BaseRepresentation
bin1010111111111010…
…1000010101001000
321121202112000211100
42233332220111020
522021310242140
61204544501400
7133110151215
oct25776502510
97552460740
102952430920
11128563005a
126a491a860
1338089a75a
14200182b0c
151242e9530
hexaffa8548

2952430920 has 48 divisors (see below), whose sum is σ = 9595401660. Its totient is φ = 787314816.

The previous prime is 2952430853. The next prime is 2952430933. The reversal of 2952430920 is 290342592.

It can be written as a sum of positive squares in 2 ways, for example, as 2730480516 + 221950404 = 52254^2 + 14898^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 4100239 + ... + 4100958.

Almost surely, 22952430920 is an apocalyptic number.

2952430920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2952430920 is an abundant number, since it is smaller than the sum of its proper divisors (6642970740).

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

2952430920 is a wasteful number, since it uses less digits than its factorization.

2952430920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8201214 (or 8201207 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2952430920 is about 54336.2762802163. The cubic root of 2952430920 is about 1434.5859780796.

The spelling of 2952430920 in words is "two billion, nine hundred fifty-two million, four hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 8201197 16402394 24603591 32804788 41005985 49207182 65609576 73810773 82011970 98414364 123017955 147621546 164023940 196828728 246035910 295243092 328047880 369053865 492071820 590486184 738107730 984143640 1476215460 2952430920