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5468920 = 235472909
BaseRepresentation
bin10100110111001011111000
3101021211221121
4110313023320
52400001140
6313115024
764325242
oct24671370
911254847
105468920
1130a5976
1219b8a74
131196362
14a25092
1573064a
hex5372f8

5468920 has 32 divisors (see below), whose sum is σ = 12571200. Its totient is φ = 2140288.

The previous prime is 5468899. The next prime is 5468921. The reversal of 5468920 is 298645.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5468921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426 + ... + 3334.

It is an arithmetic number, because the mean of its divisors is an integer number (392850).

Almost surely, 25468920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5468920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285600).

5468920 is an abundant number, since it is smaller than the sum of its proper divisors (7102280).

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

5468920 is a wasteful number, since it uses less digits than its factorization.

5468920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 5468920 is about 2338.5722139801. The cubic root of 5468920 is about 176.1842938687.

The spelling of 5468920 in words is "five million, four hundred sixty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 2909 5818 11636 14545 23272 29090 58180 116360 136723 273446 546892 683615 1093784 1367230 2734460 5468920