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572880 = 243571131
BaseRepresentation
bin10001011110111010000
31002002211210
42023313100
5121313010
620140120
74604130
oct2136720
91062753
10572880
11361460
12237640
131709a9
1410cac0
15b4b20
hex8bdd0

572880 has 160 divisors (see below), whose sum is σ = 2285568. Its totient is φ = 115200.

The previous prime is 572879. The next prime is 572881. The reversal of 572880 is 88275.

572880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (572879) and next prime (572881).

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 (572881) 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, 18465 + ... + 18495.

572880 is a Friedman number, since it can be written as 70*(2^(8+5)-8), using all its digits and the basic arithmetic operations.

2572880 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 572880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142784).

572880 is an abundant number, since it is smaller than the sum of its proper divisors (1712688).

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

572880 is a wasteful number, since it uses less digits than its factorization.

572880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 572880 is about 756.8883669340. Note that the first 3 decimals coincide. The cubic root of 572880 is about 83.0528525813.

The spelling of 572880 in words is "five hundred seventy-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 31 33 35 40 42 44 48 55 56 60 62 66 70 77 80 84 88 93 105 110 112 120 124 132 140 154 155 165 168 176 186 210 217 220 231 240 248 264 280 308 310 330 336 341 372 385 420 434 440 462 465 496 528 560 616 620 651 660 682 744 770 840 868 880 924 930 1023 1085 1155 1232 1240 1302 1320 1364 1488 1540 1680 1705 1736 1848 1860 2046 2170 2310 2387 2480 2604 2640 2728 3080 3255 3410 3472 3696 3720 4092 4340 4620 4774 5115 5208 5456 6160 6510 6820 7161 7440 8184 8680 9240 9548 10230 10416 11935 13020 13640 14322 16368 17360 18480 19096 20460 23870 26040 27280 28644 35805 38192 40920 47740 52080 57288 71610 81840 95480 114576 143220 190960 286440 572880