Search a number
-
+
2240420 = 2257131231
BaseRepresentation
bin1000100010111110100100
311012211021112
420202332210
51033143140
6120004152
725020560
oct10427644
94184245
102240420
1112a0296
12900658
136059c0
144246a0
152e3c65
hex222fa4

2240420 has 48 divisors (see below), whose sum is σ = 5795328. Its totient is φ = 708480.

The previous prime is 2240389. The next prime is 2240431. The reversal of 2240420 is 240422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2240395 and 2240404.

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, 1205 + ... + 2435.

It is an arithmetic number, because the mean of its divisors is an integer number (120736).

22240420 is an apocalyptic number.

2240420 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 2240420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897664).

2240420 is an abundant number, since it is smaller than the sum of its proper divisors (3554908).

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

2240420 is a wasteful number, since it uses less digits than its factorization.

2240420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2240420 is about 1496.8032602851. The cubic root of 2240420 is about 130.8508295623.

Adding to 2240420 its reverse (240422), we get a palindrome (2480842).

The spelling of 2240420 in words is "two million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1231 1820 2462 4924 6155 8617 12310 16003 17234 24620 32006 34468 43085 64012 80015 86170 112021 160030 172340 224042 320060 448084 560105 1120210 2240420