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2312420 = 2251123457
BaseRepresentation
bin1000110100100011100100
311100111001012
420310203210
51042444140
6121321352
725440515
oct10644344
94314035
102312420
11133a3a0
12936258
1362c6c6
14442a0c
1530a265
hex2348e4

2312420 has 48 divisors (see below), whose sum is σ = 5539968. Its totient is φ = 802560.

The previous prime is 2312419. The next prime is 2312477. The reversal of 2312420 is 242132.

It is a junction number, because it is equal to n+sod(n) for n = 2312395 and 2312404.

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, 4832 + ... + 5288.

It is an arithmetic number, because the mean of its divisors is an integer number (115416).

22312420 is an apocalyptic number.

2312420 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 2312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769984).

2312420 is an abundant number, since it is smaller than the sum of its proper divisors (3227548).

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

2312420 is a wasteful number, since it uses less digits than its factorization.

2312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2312420 is about 1520.6643285091. The cubic root of 2312420 is about 132.2377868780.

Adding to 2312420 its reverse (242132), we get a palindrome (2554552).

The spelling of 2312420 in words is "two million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 457 460 506 914 1012 1265 1828 2285 2530 4570 5027 5060 9140 10054 10511 20108 21022 25135 42044 50270 52555 100540 105110 115621 210220 231242 462484 578105 1156210 2312420