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2000160 = 25335463
BaseRepresentation
bin111101000010100100000
310202121201000
413220110200
51003001120
6110512000
723000241
oct7502440
93677630
102000160
111146828
12805600
13550536
143a0cc8
15297990
hex1e8520

2000160 has 96 divisors (see below), whose sum is σ = 7015680. Its totient is φ = 532224.

The previous prime is 2000153. The next prime is 2000177. The reversal of 2000160 is 610002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4089 + ... + 4551.

It is an arithmetic number, because the mean of its divisors is an integer number (73080).

22000160 is an apocalyptic number.

2000160 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 2000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507840).

2000160 is an abundant number, since it is smaller than the sum of its proper divisors (5015520).

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

2000160 is a wasteful number, since it uses less digits than its factorization.

2000160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2000160 is about 1414.2701297843. The cubic root of 2000160 is about 125.9954646894.

Adding to 2000160 its reverse (610002), we get a palindrome (2610162).

The spelling of 2000160 in words is "two million, one hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 463 480 540 720 864 926 1080 1389 1440 1852 2160 2315 2778 3704 4167 4320 4630 5556 6945 7408 8334 9260 11112 12501 13890 14816 16668 18520 20835 22224 25002 27780 33336 37040 41670 44448 50004 55560 62505 66672 74080 83340 100008 111120 125010 133344 166680 200016 222240 250020 333360 400032 500040 666720 1000080 2000160