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2130864 = 243103431
BaseRepresentation
bin1000001000001110110000
311000020222220
420020032300
51021141424
6113401040
724053301
oct10101660
94006886
102130864
111225a4a
12869180
13597b88
143d67a8
152c1579
hex2083b0

2130864 has 40 divisors (see below), whose sum is σ = 5571072. Its totient is φ = 701760.

The previous prime is 2130857. The next prime is 2130901. The reversal of 2130864 is 4680312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4729 + ... + 5159.

22130864 is an apocalyptic number.

2130864 is a gapful number since it is divisible by the number (24) 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 2130864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785536).

2130864 is an abundant number, since it is smaller than the sum of its proper divisors (3440208).

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

2130864 is a wasteful number, since it uses less digits than its factorization.

2130864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2130864 is about 1459.7479234443. The cubic root of 2130864 is about 128.6822297061.

The spelling of 2130864 in words is "two million, one hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 431 618 824 862 1236 1293 1648 1724 2472 2586 3448 4944 5172 6896 10344 20688 44393 88786 133179 177572 266358 355144 532716 710288 1065432 2130864