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2318420 = 2251337241
BaseRepresentation
bin1000110110000001010100
311100210021102
420312001110
51043142140
6121405232
725464146
oct10660124
94323242
102318420
111343955
12939818
13632360
14444c96
1530be15
hex236054

2318420 has 48 divisors (see below), whose sum is σ = 5407248. Its totient is φ = 829440.

The previous prime is 2318417. The next prime is 2318453. The reversal of 2318420 is 248132.

It can be written as a sum of positive squares in 8 ways, for example, as 20164 + 2298256 = 142^2 + 1516^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2318392 and 2318401.

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, 9500 + ... + 9740.

It is an arithmetic number, because the mean of its divisors is an integer number (112651).

22318420 is an apocalyptic number.

2318420 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 2318420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703624).

2318420 is an abundant number, since it is smaller than the sum of its proper divisors (3088828).

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

2318420 is a wasteful number, since it uses less digits than its factorization.

2318420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2318420 is about 1522.6358724265. The cubic root of 2318420 is about 132.3520598731.

2318420 divided by its sum of digits (20) gives a triangular number (115921 = T481).

It can be divided in two parts, 23 and 18420, that multiplied together give a triangular number (423660 = T920).

The spelling of 2318420 in words is "two million, three hundred eighteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 241 260 370 481 482 740 962 964 1205 1924 2405 2410 3133 4810 4820 6266 8917 9620 12532 15665 17834 31330 35668 44585 62660 89170 115921 178340 231842 463684 579605 1159210 2318420