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2392420 = 225375361
BaseRepresentation
bin1001001000000101100100
311111112210011
421020011210
51103024140
6123140004
726222662
oct11100544
94445704
102392420
111394508
12974604
13659c44
14463c32
15323cea
hex248164

2392420 has 48 divisors (see below), whose sum is σ = 5343408. Its totient is φ = 898560.

The previous prime is 2392373. The next prime is 2392421. The reversal of 2392420 is 242932.

It can be written as a sum of positive squares in 8 ways, for example, as 2304 + 2390116 = 48^2 + 1546^2 .

It is a d-powerful number, because it can be written as 25 + 35 + 92 + 215 + 49 + 221 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2392391 and 2392400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2392421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39190 + ... + 39250.

It is an arithmetic number, because the mean of its divisors is an integer number (111321).

22392420 is an apocalyptic number.

2392420 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 2392420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671704).

2392420 is an abundant number, since it is smaller than the sum of its proper divisors (2950988).

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

2392420 is a wasteful number, since it uses less digits than its factorization.

2392420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2392420 is about 1546.7449692823. The cubic root of 2392420 is about 133.7454885368.

The spelling of 2392420 in words is "two million, three hundred ninety-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 53 61 74 106 122 148 185 212 244 265 305 370 530 610 740 1060 1220 1961 2257 3233 3922 4514 6466 7844 9028 9805 11285 12932 16165 19610 22570 32330 39220 45140 64660 119621 239242 478484 598105 1196210 2392420