Search a number
-
+
2105160 = 233553331
BaseRepresentation
bin1000000001111101001000
310221221201220
420001331020
51014331120
6113042040
723615331
oct10017510
93857656
102105160
111208702
12856320
13589275
143cb288
152b8b40
hex201f48

2105160 has 64 divisors (see below), whose sum is σ = 6454080. Its totient is φ = 549120.

The previous prime is 2105149. The next prime is 2105183. The reversal of 2105160 is 615012.

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

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, 6195 + ... + 6525.

It is an arithmetic number, because the mean of its divisors is an integer number (100845).

22105160 is an apocalyptic number.

2105160 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 2105160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227040).

2105160 is an abundant number, since it is smaller than the sum of its proper divisors (4348920).

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

2105160 is a wasteful number, since it uses less digits than its factorization.

2105160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 2105160 is about 1450.9169514483. The cubic root of 2105160 is about 128.1627162412.

The spelling of 2105160 in words is "two million, one hundred five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 331 424 530 636 662 795 993 1060 1272 1324 1590 1655 1986 2120 2648 3180 3310 3972 4965 6360 6620 7944 9930 13240 17543 19860 35086 39720 52629 70172 87715 105258 140344 175430 210516 263145 350860 421032 526290 701720 1052580 2105160