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163000540 = 225233761157
BaseRepresentation
bin10011011011100…
…11000011011100
3102100201021201001
421231303003130
5313212004130
624101400044
74016324143
oct1155630334
9370637631
10163000540
118401179a
1246709024
1327a01431
141791075a
15e49b6ca
hex9b730dc

163000540 has 96 divisors (see below), whose sum is σ = 375225984. Its totient is φ = 59304960.

The previous prime is 163000529. The next prime is 163000553. The reversal of 163000540 is 45000361.

163000540 is a nontrivial binomial coefficient, being equal to C(18056, 2).

It is a congruent number.

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, 1038142 + ... + 1038298.

It is an arithmetic number, because the mean of its divisors is an integer number (3908604).

Almost surely, 2163000540 is an apocalyptic number.

163000540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

163000540 is the 18055-th triangular number and also the 9028-th hexagonal number.

163000540 is the 6019-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187612992).

163000540 is an abundant number, since it is smaller than the sum of its proper divisors (212225444).

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

163000540 is a wasteful number, since it uses less digits than its factorization.

163000540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 163000540 is about 12767.1664828183. The cubic root of 163000540 is about 546.2561603545.

The spelling of 163000540 in words is "one hundred sixty-three million, five hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 23 37 46 61 74 92 115 122 148 157 185 230 244 305 314 370 460 610 628 740 785 851 1220 1403 1570 1702 2257 2806 3140 3404 3611 4255 4514 5612 5809 7015 7222 8510 9028 9577 11285 11618 14030 14444 17020 18055 19154 22570 23236 28060 29045 36110 38308 45140 47885 51911 58090 72220 95770 103822 116180 133607 191540 207644 220271 259555 267214 354349 440542 519110 534428 668035 708698 881084 1038220 1101355 1336070 1417396 1771745 2202710 2672140 3543490 4405420 7086980 8150027 16300054 32600108 40750135 81500270 163000540