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2931059920 = 245311181879
BaseRepresentation
bin1010111010110100…
…0110110011010000
321120021022021022211
42232231012303100
522000322404140
61202502441504
7132430412125
oct25655066320
97507267284
102931059920
111274563778
12699733294
133793272a9
141db3bc74c
151224c72ea
hexaeb46cd0

2931059920 has 40 divisors (see below), whose sum is σ = 7034549760. Its totient is φ = 1134602880.

The previous prime is 2931059867. The next prime is 2931059941. The reversal of 2931059920 is 299501392.

2931059920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×29310599202 = 17182224509260812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 588460 + ... + 593419.

It is an arithmetic number, because the mean of its divisors is an integer number (175863744).

Almost surely, 22931059920 is an apocalyptic number.

2931059920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2931059920 is an abundant number, since it is smaller than the sum of its proper divisors (4103489840).

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

2931059920 is a wasteful number, since it uses less digits than its factorization.

2931059920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181923 (or 1181917 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 40.

The square root of 2931059920 is about 54139.2641250322. The cubic root of 2931059920 is about 1431.1162035070.

The spelling of 2931059920 in words is "two billion, nine hundred thirty-one million, fifty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 1181879 2363758 4727516 5909395 9455032 11818790 18910064 23637580 36638249 47275160 73276498 94550320 146552996 183191245 293105992 366382490 586211984 732764980 1465529960 2931059920