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2891731120 = 245234213733
BaseRepresentation
bin1010110001011100…
…0101000010110000
321110112022011100121
42230113011002300
521410240343440
61154535500024
7131442210655
oct25427050260
97415264317
102891731120
111254341433
12688527614
13371137105
141d60a1c2c
1511dd0934a
hexac5c50b0

2891731120 has 80 divisors (see below), whose sum is σ = 7034139072. Its totient is φ = 1103477760.

The previous prime is 2891731111. The next prime is 2891731147. The reversal of 2891731120 is 211371982.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 772774 + ... + 776506.

Almost surely, 22891731120 is an apocalyptic number.

2891731120 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 2891731120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517069536).

2891731120 is an abundant number, since it is smaller than the sum of its proper divisors (4142407952).

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

2891731120 is a wasteful number, since it uses less digits than its factorization.

2891731120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 2891731120 is about 53774.8186421860. The cubic root of 2891731120 is about 1424.6864799131.

The spelling of 2891731120 in words is "two billion, eight hundred ninety-one million, seven hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 421 460 842 920 1684 1840 2105 3368 3733 4210 6736 7466 8420 9683 14932 16840 18665 19366 29864 33680 37330 38732 48415 59728 74660 77464 85859 96830 149320 154928 171718 193660 298640 343436 387320 429295 686872 774640 858590 1373744 1571593 1717180 3143186 3434360 6286372 6868720 7857965 12572744 15715930 25145488 31431860 36146639 62863720 72293278 125727440 144586556 180733195 289173112 361466390 578346224 722932780 1445865560 2891731120