Search a number
-
+
2300640 = 25354793
BaseRepresentation
bin1000110001101011100000
311022212212220
420301223200
51042110030
6121151040
725361256
oct10615340
94285786
102300640
111331561
1292b480
13627234
1443c5d6
15306a10
hex231ae0

2300640 has 48 divisors (see below), whose sum is σ = 7248528. Its totient is φ = 613376.

The previous prime is 2300611. The next prime is 2300651. The reversal of 2300640 is 460032.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 1917 + ... + 2876.

It is an arithmetic number, because the mean of its divisors is an integer number (151011).

22300640 is an apocalyptic number.

2300640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300640 is an abundant number, since it is smaller than the sum of its proper divisors (4947888).

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

2300640 is a wasteful number, since it uses less digits than its factorization.

2300640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2300640 is about 1516.7860758855. The cubic root of 2300640 is about 132.0128545792.

Adding to 2300640 its reverse (460032), we get a palindrome (2760672).

The spelling of 2300640 in words is "two million, three hundred thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4793 9586 14379 19172 23965 28758 38344 47930 57516 71895 76688 95860 115032 143790 153376 191720 230064 287580 383440 460128 575160 766880 1150320 2300640