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2114580 = 2235132711
BaseRepresentation
bin1000000100010000010100
310222102122210
420010100110
51020131310
6113153420
723654646
oct10042024
93872583
102114580
111214796
1285b870
13590640
143d0896
152bb820
hex204414

2114580 has 48 divisors (see below), whose sum is σ = 6378624. Its totient is φ = 520320.

The previous prime is 2114549. The next prime is 2114621. The reversal of 2114580 is 854112.

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 15 ways as a sum of consecutive naturals, for example, 576 + ... + 2135.

It is an arithmetic number, because the mean of its divisors is an integer number (132888).

22114580 is an apocalyptic number.

2114580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114580 is an abundant number, since it is smaller than the sum of its proper divisors (4264044).

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

2114580 is a wasteful number, since it uses less digits than its factorization.

2114580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 2114580 is about 1454.1595510810. The cubic root of 2114580 is about 128.3535958711.

Adding to 2114580 its reverse (854112), we get a palindrome (2968692).

The spelling of 2114580 in words is "two million, one hundred fourteen thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2711 5422 8133 10844 13555 16266 27110 32532 35243 40665 54220 70486 81330 105729 140972 162660 176215 211458 352430 422916 528645 704860 1057290 2114580