Search a number
-
+
2312820 = 223354283
BaseRepresentation
bin1000110100101001110100
311100111121000
420310221310
51043002240
6121323300
725441626
oct10645164
94314530
102312820
11133a724
12936530
1362c943
14442c16
1530a430
hex234a74

2312820 has 48 divisors (see below), whose sum is σ = 7197120. Its totient is φ = 616608.

The previous prime is 2312809. The next prime is 2312861. The reversal of 2312820 is 282132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2312793 and 2312802.

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, 1602 + ... + 2681.

It is an arithmetic number, because the mean of its divisors is an integer number (149940).

22312820 is an apocalyptic number.

2312820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2312820 is an abundant number, since it is smaller than the sum of its proper divisors (4884300).

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

2312820 is a wasteful number, since it uses less digits than its factorization.

2312820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4301 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2312820 is about 1520.7958442868. The cubic root of 2312820 is about 132.2454112232.

Adding to 2312820 its reverse (282132), we get a palindrome (2594952).

The spelling of 2312820 in words is "two million, three hundred twelve thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 4283 8566 12849 17132 21415 25698 38547 42830 51396 64245 77094 85660 115641 128490 154188 192735 231282 256980 385470 462564 578205 770940 1156410 2312820