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5803980 = 22357131063
BaseRepresentation
bin10110001000111111001100
3101220212120020
4112020333030
52441211410
6324222140
7100222140
oct26107714
911825506
105803980
113304686
121b3a950
131282a10
14ab1220
15799a70
hex588fcc

5803980 has 96 divisors (see below), whose sum is σ = 20020224. Its totient is φ = 1223424.

The previous prime is 5803979. The next prime is 5803991. The reversal of 5803980 is 893085.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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, 4929 + ... + 5991.

It is an arithmetic number, because the mean of its divisors is an integer number (208544).

Almost surely, 25803980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5803980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10010112).

5803980 is an abundant number, since it is smaller than the sum of its proper divisors (14216244).

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

5803980 is a wasteful number, since it uses less digits than its factorization.

5803980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 5803980 is about 2409.1450765780. The cubic root of 5803980 is about 179.7112654893.

It can be divided in two parts, 580 and 3980, that added together give a triangular number (4560 = T95).

The spelling of 5803980 in words is "five million, eight hundred three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1063 1092 1365 1820 2126 2730 3189 4252 5315 5460 6378 7441 10630 12756 13819 14882 15945 21260 22323 27638 29764 31890 37205 41457 44646 55276 63780 69095 74410 82914 89292 96733 111615 138190 148820 165828 193466 207285 223230 276380 290199 386932 414570 446460 483665 580398 829140 967330 1160796 1450995 1934660 2901990 5803980