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5752560 = 2435112179
BaseRepresentation
bin10101111100011011110000
3101211021000210
4111330123300
52433040220
6323144120
766616212
oct25743360
911737023
105752560
113279a90
121b15040
1312654a8
14a9a5b2
157896e0
hex57c6f0

5752560 has 80 divisors (see below), whose sum is σ = 19463040. Its totient is φ = 1393920.

The previous prime is 5752547. The next prime is 5752561. The reversal of 5752560 is 652575.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5752561) 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 15 ways as a sum of consecutive naturals, for example, 1551 + ... + 3729.

It is an arithmetic number, because the mean of its divisors is an integer number (243288).

Almost surely, 25752560 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 5752560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9731520).

5752560 is an abundant number, since it is smaller than the sum of its proper divisors (13710480).

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

5752560 is a wasteful number, since it uses less digits than its factorization.

5752560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 5752560 is about 2398.4494991557. The cubic root of 5752560 is about 179.1789768598.

The spelling of 5752560 in words is "five million, seven hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2179 2640 4358 6537 8716 10895 13074 17432 21790 23969 26148 32685 34864 43580 47938 52296 65370 71907 87160 95876 104592 119845 130740 143814 174320 191752 239690 261480 287628 359535 383504 479380 522960 575256 719070 958760 1150512 1438140 1917520 2876280 5752560