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2160900 = 22325274
BaseRepresentation
bin1000001111100100000100
311001210012100
420033210010
51023122100
6114152100
724240000
oct10174404
94053170
102160900
111246575
12882630
135a8751
14403700
152ca400
hex20f904

2160900 has 135 divisors (see below), whose sum is σ = 7901621. Its totient is φ = 493920.

The previous prime is 2160883. The next prime is 2160913. The reversal of 2160900 is 90612.

The square root of 2160900 is 1470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 777924 + 1382976 = 882^2 + 1176^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 308697 + ... + 308703.

22160900 is an apocalyptic number.

2160900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2160900 is the 1470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2160900

2160900 is an abundant number, since it is smaller than the sum of its proper divisors (5740721).

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

2160900 is a wasteful number, since it uses less digits than its factorization.

2160900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The cubic root of 2160900 is about 129.2840325313.

The spelling of 2160900 in words is "two million, one hundred sixty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 49 50 60 63 70 75 84 90 98 100 105 126 140 147 150 175 180 196 210 225 245 252 294 300 315 343 350 420 441 450 490 525 588 630 686 700 735 882 900 980 1029 1050 1225 1260 1372 1470 1575 1715 1764 2058 2100 2205 2401 2450 2940 3087 3150 3430 3675 4116 4410 4802 4900 5145 6174 6300 6860 7203 7350 8575 8820 9604 10290 11025 12005 12348 14406 14700 15435 17150 20580 21609 22050 24010 25725 28812 30870 34300 36015 43218 44100 48020 51450 60025 61740 72030 77175 86436 102900 108045 120050 144060 154350 180075 216090 240100 308700 360150 432180 540225 720300 1080450 2160900