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20167980 = 22357311549
BaseRepresentation
bin100110011101…
…1110100101100
31101221122021020
41030323310230
520130333410
62000134140
7333265530
oct114736454
941848236
1020167980
1110425558
126907350
134241a21
14296dbc0
151b85a70
hex133bd2c

20167980 has 96 divisors (see below), whose sum is σ = 66662400. Its totient is φ = 4458240.

The previous prime is 20167969. The next prime is 20167991. The reversal of 20167980 is 8976102.

It is an interprime number because it is at equal distance from previous prime (20167969) and next prime (20167991).

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, 12246 + ... + 13794.

It is an arithmetic number, because the mean of its divisors is an integer number (694400).

Almost surely, 220167980 is an apocalyptic number.

20167980 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 20167980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33331200).

20167980 is an abundant number, since it is smaller than the sum of its proper divisors (46494420).

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

20167980 is a wasteful number, since it uses less digits than its factorization.

20167980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 20167980 is about 4490.8774198368. The cubic root of 20167980 is about 272.1995903872.

The spelling of 20167980 in words is "twenty million, one hundred sixty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1549 1860 2170 2604 3098 3255 4340 4647 6196 6510 7745 9294 10843 13020 15490 18588 21686 23235 30980 32529 43372 46470 48019 54215 65058 92940 96038 108430 130116 144057 162645 192076 216860 240095 288114 325290 336133 480190 576228 650580 672266 720285 960380 1008399 1344532 1440570 1680665 2016798 2881140 3361330 4033596 5041995 6722660 10083990 20167980