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2424420 = 2232513469
BaseRepresentation
bin1001001111111001100100
311120011200100
421033321210
51110040140
6123544100
726415165
oct11177144
94504610
102424420
111406559
1298b030
1366b68b
1447176c
1532d530
hex24fe64

2424420 has 36 divisors (see below), whose sum is σ = 7354620. Its totient is φ = 646464.

The previous prime is 2424391. The next prime is 2424427. The reversal of 2424420 is 244242.

2424420 is a `hidden beast` number, since 242 + 4 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1205604 + 1218816 = 1098^2 + 1104^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 2424393 and 2424402.

It is not an unprimeable number, because it can be changed into a prime (2424427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6555 + ... + 6914.

It is an arithmetic number, because the mean of its divisors is an integer number (204295).

22424420 is an apocalyptic number.

2424420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424420 is an abundant number, since it is smaller than the sum of its proper divisors (4930200).

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

2424420 is a wasteful number, since it uses less digits than its factorization.

2424420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13484 (or 13479 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2424420 is about 1557.0549123265. The cubic root of 2424420 is about 134.3391571970.

Adding to 2424420 its reverse (244242), we get a palindrome (2668662).

The spelling of 2424420 in words is "two million, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13469 26938 40407 53876 67345 80814 121221 134690 161628 202035 242442 269380 404070 484884 606105 808140 1212210 2424420