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2123160 = 2335131361
BaseRepresentation
bin1000000110010110011000
310222212102120
420012112120
51020420120
6113301240
724021654
oct10062630
93885376
102123160
111220186
12864820
13594510
143d3a64
152be140
hex206598

2123160 has 64 divisors (see below), whose sum is σ = 6864480. Its totient is φ = 522240.

The previous prime is 2123141. The next prime is 2123161. The reversal of 2123160 is 613212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 880 + ... + 2240.

22123160 is an apocalyptic number.

2123160 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 2123160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432240).

2123160 is an abundant number, since it is smaller than the sum of its proper divisors (4741320).

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

2123160 is a wasteful number, since it uses less digits than its factorization.

2123160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2123160 is about 1457.1067222410. The cubic root of 2123160 is about 128.5269616951.

Adding to 2123160 its reverse (613212), we get a palindrome (2736372).

The spelling of 2123160 in words is "two million, one hundred twenty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1361 1560 2722 4083 5444 6805 8166 10888 13610 16332 17693 20415 27220 32664 35386 40830 53079 54440 70772 81660 88465 106158 141544 163320 176930 212316 265395 353860 424632 530790 707720 1061580 2123160