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5468580 = 22335131941
BaseRepresentation
bin10100110111000110100100
3101021211111000
4110313012210
52344443310
6313113300
764324245
oct24670644
911254430
105468580
1130a5697
1219b8830
131196160
14a24ccc
157304c0
hex5371a4

5468580 has 192 divisors, whose sum is σ = 19756800. Its totient is φ = 1244160.

The previous prime is 5468557. The next prime is 5468581. The reversal of 5468580 is 858645.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5468581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133360 + ... + 133400.

It is an arithmetic number, because the mean of its divisors is an integer number (102900).

Almost surely, 25468580 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 5468580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9878400).

5468580 is an abundant number, since it is smaller than the sum of its proper divisors (14288220).

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

5468580 is a wasteful number, since it uses less digits than its factorization.

5468580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5468580 is about 2338.4995189223. The cubic root of 5468580 is about 176.1806426967.

The spelling of 5468580 in words is "five million, four hundred sixty-eight thousand, five hundred eighty".