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2430420 = 223540507
BaseRepresentation
bin1001010001010111010100
311120110220120
421101113110
51110233140
6124031540
726441526
oct11212724
94513816
102430420
111410013
129925b0
13671325
14473a16
153301d0
hex2515d4

2430420 has 24 divisors (see below), whose sum is σ = 6805344. Its totient is φ = 648096.

The previous prime is 2430397. The next prime is 2430427. The reversal of 2430420 is 240342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2430420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20194 + ... + 20313.

It is an arithmetic number, because the mean of its divisors is an integer number (283556).

22430420 is an apocalyptic number.

2430420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430420 is an abundant number, since it is smaller than the sum of its proper divisors (4374924).

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

2430420 is a wasteful number, since it uses less digits than its factorization.

2430420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40519 (or 40517 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2430420 is about 1558.9804360543. The cubic root of 2430420 is about 134.4498875883.

Adding to 2430420 its reverse (240342), we get a palindrome (2670762).

It can be divided in two parts, 2430 and 420, that added together give a triangular number (2850 = T75).

The spelling of 2430420 in words is "two million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 40507 81014 121521 162028 202535 243042 405070 486084 607605 810140 1215210 2430420