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2971731980 = 225747716361
BaseRepresentation
bin1011000100100001…
…0000100000001100
321200002211121220102
42301020100200030
522041230410410
61210514310232
7133433206430
oct26110204014
97602747812
102971731980
111295513248
126ab288378
133848979b9
142029689c0
15125d5d2a5
hexb121080c

2971731980 has 96 divisors (see below), whose sum is σ = 7387656192. Its totient is φ = 983001600.

The previous prime is 2971731979. The next prime is 2971731991. The reversal of 2971731980 is 891371792.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464000 + ... + 470360.

It is an arithmetic number, because the mean of its divisors is an integer number (76954752).

Almost surely, 22971731980 is an apocalyptic number.

2971731980 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 2971731980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693828096).

2971731980 is an abundant number, since it is smaller than the sum of its proper divisors (4415924212).

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

2971731980 is a wasteful number, since it uses less digits than its factorization.

2971731980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6495 (or 6493 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 47.

The square root of 2971731980 is about 54513.5944512926. The cubic root of 2971731980 is about 1437.7053184234.

The spelling of 2971731980 in words is "two billion, nine hundred seventy-one million, seven hundred thirty-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 71 94 140 142 188 235 284 329 355 470 497 658 710 940 994 1316 1420 1645 1988 2485 3290 3337 4970 6361 6580 6674 9940 12722 13348 16685 23359 25444 31805 33370 44527 46718 63610 66740 89054 93436 116795 127220 178108 222635 233590 298967 445270 451631 467180 597934 890540 903262 1195868 1494835 1806524 2092769 2258155 2989670 3161417 4185538 4516310 5979340 6322834 8371076 9032620 10463845 12645668 15807085 20927690 21226657 31614170 41855380 42453314 63228340 84906628 106133285 148586599 212266570 297173198 424533140 594346396 742932995 1485865990 2971731980