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2630160 = 2432513281
BaseRepresentation
bin1010000010001000010000
311221121220100
422002020100
51133131120
6132212400
731233051
oct12021020
94847810
102630160
111537095
12a6a100
13711210
144c6728
1536e490
hex282210

2630160 has 120 divisors (see below), whose sum is σ = 9546264. Its totient is φ = 645120.

The previous prime is 2630153. The next prime is 2630171. The reversal of 2630160 is 610362.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 121104 + 2509056 = 348^2 + 1584^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9220 + ... + 9500.

22630160 is an apocalyptic number.

2630160 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 2630160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4773132).

2630160 is an abundant number, since it is smaller than the sum of its proper divisors (6916104).

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

2630160 is a wasteful number, since it uses less digits than its factorization.

2630160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2630160 is about 1621.7768033857. The cubic root of 2630160 is about 138.0365372694.

The spelling of 2630160 in words is "two million, six hundred thirty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 281 312 360 390 468 520 562 585 624 720 780 843 936 1040 1124 1170 1405 1560 1686 1872 2248 2340 2529 2810 3120 3372 3653 4215 4496 4680 5058 5620 6744 7306 8430 9360 10116 10959 11240 12645 13488 14612 16860 18265 20232 21918 22480 25290 29224 32877 33720 36530 40464 43836 50580 54795 58448 65754 67440 73060 87672 101160 109590 131508 146120 164385 175344 202320 219180 263016 292240 328770 438360 526032 657540 876720 1315080 2630160