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563040 = 253251723
BaseRepresentation
bin10001001011101100000
31001121100100
42021131200
5121004130
620022400
74533342
oct2113540
91047310
10563040
11355025
12231a00
1316937a
14109292
15b1c60
hex89760

563040 has 144 divisors (see below), whose sum is σ = 2122848. Its totient is φ = 135168.

The previous prime is 563039. The next prime is 563041. The reversal of 563040 is 40365.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (563039) and next prime (563041).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24469 + ... + 24491.

It is an arithmetic number, because the mean of its divisors is an integer number (14742).

2563040 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 563040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061424).

563040 is an abundant number, since it is smaller than the sum of its proper divisors (1559808).

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

563040 is a wasteful number, since it uses less digits than its factorization.

563040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 563040 is about 750.3599136414. The cubic root of 563040 is about 82.5745881919.

The spelling of 563040 in words is "five hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 23 24 30 32 34 36 40 45 46 48 51 60 68 69 72 80 85 90 92 96 102 115 120 136 138 144 153 160 170 180 184 204 207 230 240 255 272 276 288 306 340 345 360 368 391 408 414 460 480 510 544 552 612 680 690 720 736 765 782 816 828 920 1020 1035 1104 1173 1224 1360 1380 1440 1530 1564 1632 1656 1840 1955 2040 2070 2208 2346 2448 2720 2760 3060 3128 3312 3519 3680 3910 4080 4140 4692 4896 5520 5865 6120 6256 6624 7038 7820 8160 8280 9384 11040 11730 12240 12512 14076 15640 16560 17595 18768 23460 24480 28152 31280 33120 35190 37536 46920 56304 62560 70380 93840 112608 140760 187680 281520 563040