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2141160 = 233572549
BaseRepresentation
bin1000001010101111101000
311000210010020
420022233220
51022004120
6113520440
724125310
oct10125750
94023106
102141160
11123275a
12873120
1359c778
143da440
152c4640
hex20abe8

2141160 has 64 divisors (see below), whose sum is σ = 7344000. Its totient is φ = 489216.

The previous prime is 2141159. The next prime is 2141189. The reversal of 2141160 is 611412.

It is a super-2 number, since 2×21411602 = 9169132291200, which contains 22 as substring.

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, 435 + ... + 2114.

It is an arithmetic number, because the mean of its divisors is an integer number (114750).

22141160 is an apocalyptic number.

2141160 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 2141160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672000).

2141160 is an abundant number, since it is smaller than the sum of its proper divisors (5202840).

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

2141160 is a wasteful number, since it uses less digits than its factorization.

2141160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2141160 is about 1463.2703099564. The cubic root of 2141160 is about 128.8891542250.

Adding to 2141160 its reverse (611412), we get a palindrome (2752572).

The spelling of 2141160 in words is "two million, one hundred forty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2549 5098 7647 10196 12745 15294 17843 20392 25490 30588 35686 38235 50980 53529 61176 71372 76470 89215 101960 107058 142744 152940 178430 214116 267645 305880 356860 428232 535290 713720 1070580 2141160