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5738040 = 2334571123
BaseRepresentation
bin10101111000111000111000
3101210112010000
4111320320320
52432104130
6322553000
766525660
oct25707070
911715100
105738040
11326a090
121b08760
13125b9b9
14a951a0
15785260
hex578e38

5738040 has 320 divisors, whose sum is σ = 25090560. Its totient is φ = 1140480.

The previous prime is 5738023. The next prime is 5738041. The reversal of 5738040 is 408375.

5738040 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5737995 and 5738013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5738041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 249469 + ... + 249491.

It is an arithmetic number, because the mean of its divisors is an integer number (78408).

Almost surely, 25738040 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 5738040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12545280).

5738040 is an abundant number, since it is smaller than the sum of its proper divisors (19352520).

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

5738040 is a wasteful number, since it uses less digits than its factorization.

5738040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5738040 is about 2395.4206311210. The cubic root of 5738040 is about 179.0280950044.

The spelling of 5738040 in words is "five million, seven hundred thirty-eight thousand, forty".