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2900041980 = 223511972467
BaseRepresentation
bin1010110011011011…
…0010000011111100
321111002221101201020
42230312302003330
521414402320410
61155433544140
7131602643613
oct25466620374
97432841636
102900041980
111258aa8510
1268b275050
13372a86b94
141d722687a
1511e8eba70
hexacdb20fc

2900041980 has 144 divisors (see below), whose sum is σ = 8969740416. Its totient is φ = 694302720.

The previous prime is 2900041939. The next prime is 2900041999. The reversal of 2900041980 is 891400092.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 6209707 + ... + 6210173.

It is an arithmetic number, because the mean of its divisors is an integer number (62289864).

Almost surely, 22900041980 is an apocalyptic number.

2900041980 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 2900041980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484870208).

2900041980 is an abundant number, since it is smaller than the sum of its proper divisors (6069698436).

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

2900041980 is a wasteful number, since it uses less digits than its factorization.

2900041980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 2900041980 is about 53852.0378444493. The cubic root of 2900041980 is about 1426.0500281772.

The spelling of 2900041980 in words is "two billion, nine hundred million, forty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 97 110 132 165 194 220 291 330 388 467 485 582 660 934 970 1067 1164 1401 1455 1868 1940 2134 2335 2802 2910 3201 4268 4670 5137 5335 5604 5820 6402 7005 9340 9409 10274 10670 12804 14010 15411 16005 18818 20548 21340 25685 28020 28227 30822 32010 37636 45299 47045 51370 56454 61644 64020 77055 90598 94090 102740 103499 112908 135897 141135 154110 181196 188180 206998 226495 271794 282270 308220 310497 413996 452990 498289 517495 543588 564540 620994 679485 905980 996578 1034990 1241988 1358970 1494867 1552485 1993156 2069980 2491445 2717940 2989734 3104970 4394003 4982890 5979468 6209940 7474335 8788006 9965780 13182009 14948670 17576012 21970015 26364018 29897340 43940030 48334033 52728036 65910045 87880060 96668066 131820090 145002099 193336132 241670165 263640180 290004198 483340330 580008396 725010495 966680660 1450020990 2900041980