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563904720 = 24335713677
BaseRepresentation
bin100001100111001…
…000000011010000
31110022002022212000
4201213020003100
52123324422340
6131542234000
716655053041
oct4147100320
91408068760
10563904720
1126a344a65
12138a25900
138ca9b442
1454c6c8c8
153478cd30
hex219c80d0

563904720 has 160 divisors (see below), whose sum is σ = 1970231040. Its totient is φ = 148216320.

The previous prime is 563904707. The next prime is 563904727. The reversal of 563904720 is 27409365.

563904720 is a `hidden beast` number, since 563 + 90 + 4 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563904727) 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, 151522 + ... + 155198.

It is an arithmetic number, because the mean of its divisors is an integer number (12313944).

Almost surely, 2563904720 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 563904720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985115520).

563904720 is an abundant number, since it is smaller than the sum of its proper divisors (1406326320).

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

563904720 is a wasteful number, since it uses less digits than its factorization.

563904720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 563904720 is about 23746.6780834710. The cubic root of 563904720 is about 826.1683940847.

The spelling of 563904720 in words is "five hundred sixty-three million, nine hundred four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 71 72 80 90 108 120 135 142 144 180 213 216 240 270 284 355 360 426 432 540 568 639 710 720 852 1065 1080 1136 1278 1420 1704 1917 2130 2160 2556 2840 3195 3408 3677 3834 4260 5112 5680 6390 7354 7668 8520 9585 10224 11031 12780 14708 15336 17040 18385 19170 22062 25560 29416 30672 33093 36770 38340 44124 51120 55155 58832 66186 73540 76680 88248 99279 110310 132372 147080 153360 165465 176496 198558 220620 261067 264744 294160 330930 397116 441240 496395 522134 529488 661860 783201 794232 882480 992790 1044268 1305335 1323720 1566402 1588464 1985580 2088536 2349603 2610670 2647440 3132804 3916005 3971160 4177072 4699206 5221340 6265608 7048809 7832010 7942320 9398412 10442680 11748015 12531216 14097618 15664020 18796824 20885360 23496030 28195236 31328040 35244045 37593648 46992060 56390472 62656080 70488090 93984120 112780944 140976180 187968240 281952360 563904720