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572640 = 25351193
BaseRepresentation
bin10001011110011100000
31002002111220
42023303200
5121311030
620135040
74603335
oct2136340
91062456
10572640
11361262
12237480
13170853
1410c98c
15b4a10
hex8bce0

572640 has 48 divisors (see below), whose sum is σ = 1805328. Its totient is φ = 152576.

The previous prime is 572639. The next prime is 572651. The reversal of 572640 is 46275.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×5726403 = 563334433247232000, which contains 333 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 572640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117 + ... + 1076.

It is an arithmetic number, because the mean of its divisors is an integer number (37611).

2572640 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 572640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902664).

572640 is an abundant number, since it is smaller than the sum of its proper divisors (1232688).

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

572640 is a wasteful number, since it uses less digits than its factorization.

572640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 572640 is about 756.7298064699. The cubic root of 572640 is about 83.0412530207.

The spelling of 572640 in words is "five hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1193 2386 3579 4772 5965 7158 9544 11930 14316 17895 19088 23860 28632 35790 38176 47720 57264 71580 95440 114528 143160 190880 286320 572640