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5769120 = 2535717101
BaseRepresentation
bin10110000000011110100000
3101212002202010
4112000132200
52434102440
6323352520
7100015410
oct26003640
911762663
105769120
113290475
121b22740
13126cba6
14aa2640
1578e580
hex5807a0

5769120 has 192 divisors, whose sum is σ = 22208256. Its totient is φ = 1228800.

The previous prime is 5769089. The next prime is 5769121. The reversal of 5769120 is 219675.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5769121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57070 + ... + 57170.

It is an arithmetic number, because the mean of its divisors is an integer number (115668).

Almost surely, 25769120 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 5769120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11104128).

5769120 is an abundant number, since it is smaller than the sum of its proper divisors (16439136).

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

5769120 is a wasteful number, since it uses less digits than its factorization.

5769120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 5769120 is about 2401.8992485115. The cubic root of 5769120 is about 179.3507474080.

The spelling of 5769120 in words is "five million, seven hundred sixty-nine thousand, one hundred twenty".