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5369760 = 2533511113
BaseRepresentation
bin10100011110111110100000
3101002210221000
4110132332200
52333313020
6311032000
763433164
oct24367640
911083830
105369760
113038420
12196b600
131160196
149daca4
15711090
hex51efa0

5369760 has 192 divisors, whose sum is σ = 20684160. Its totient is φ = 1290240.

The previous prime is 5369759. The next prime is 5369779. The reversal of 5369760 is 679635.

5369760 = T95 + T96 + ... + T320.

It is a happy number.

5369760 is digitally balanced in base 4, because in such base 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 (36).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47464 + ... + 47576.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

Almost surely, 25369760 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 5369760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

5369760 is an abundant number, since it is smaller than the sum of its proper divisors (15314400).

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

5369760 is a wasteful number, since it uses less digits than its factorization.

5369760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 5369760 is about 2317.2742608505. The cubic root of 5369760 is about 175.1129610825.

It can be divided in two parts, 536 and 9760, that added together give a triangular number (10296 = T143).

The spelling of 5369760 in words is "five million, three hundred sixty-nine thousand, seven hundred sixty".