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2931329120 = 25519964253
BaseRepresentation
bin1010111010111000…
…1000100001100000
321120021210221121012
42232232020201200
522000410012440
61202512320052
7132432613016
oct25656104140
97507727535
102931329120
111274727a55
12699843028
133793bc995
141db44c8b6
1512252be65
hexaeb88860

2931329120 has 48 divisors (see below), whose sum is σ = 7289760240. Its totient is φ = 1110818304.

The previous prime is 2931329119. The next prime is 2931329147. The reversal of 2931329120 is 219231392.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479087 + ... + 485166.

It is an arithmetic number, because the mean of its divisors is an integer number (151870005).

Almost surely, 22931329120 is an apocalyptic number.

2931329120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2931329120 is an abundant number, since it is smaller than the sum of its proper divisors (4358431120).

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

2931329120 is a wasteful number, since it uses less digits than its factorization.

2931329120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964287 (or 964279 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 2931329120 is about 54141.7502487683. The cubic root of 2931329120 is about 1431.1600152678.

The spelling of 2931329120 in words is "two billion, nine hundred thirty-one million, three hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 964253 1928506 3857012 4821265 7714024 9642530 15428048 18320807 19285060 30856096 36641614 38570120 73283228 77140240 91604035 146566456 154280480 183208070 293132912 366416140 586265824 732832280 1465664560 2931329120