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285568080 = 2435733469
BaseRepresentation
bin10001000001010…
…110110001010000
3201220100100202120
4101001112301100
51041101134310
644200414240
710035201000
oct2101266120
9656310676
10285568080
11137217586
127b777380
1347216bc5
1429cd8000
151a10cb70
hex11056c50

285568080 has 160 divisors (see below), whose sum is σ = 1032672000. Its totient is φ = 65253888.

The previous prime is 285568061. The next prime is 285568103. The reversal of 285568080 is 80865582.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80586 + ... + 84054.

It is an arithmetic number, because the mean of its divisors is an integer number (6454200).

Almost surely, 2285568080 is an apocalyptic number.

285568080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285568080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516336000).

285568080 is an abundant number, since it is smaller than the sum of its proper divisors (747103920).

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

285568080 is a wasteful number, since it uses less digits than its factorization.

285568080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 285568080 is about 16898.7597178018. The cubic root of 285568080 is about 658.5213914846.

The spelling of 285568080 in words is "two hundred eighty-five million, five hundred sixty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 343 392 420 490 560 588 686 735 784 840 980 1029 1176 1372 1470 1680 1715 1960 2058 2352 2744 2940 3430 3469 3920 4116 5145 5488 5880 6860 6938 8232 10290 10407 11760 13720 13876 16464 17345 20580 20814 24283 27440 27752 34690 41160 41628 48566 52035 55504 69380 72849 82320 83256 97132 104070 121415 138760 145698 166512 169981 194264 208140 242830 277520 291396 339962 364245 388528 416280 485660 509943 582792 679924 728490 832560 849905 971320 1019886 1165584 1189867 1359848 1456980 1699810 1942640 2039772 2379734 2549715 2719696 2913960 3399620 3569601 4079544 4759468 5099430 5827920 5949335 6799240 7139202 8159088 9518936 10198860 11898670 13598480 14278404 17848005 19037872 20397720 23797340 28556808 35696010 40795440 47594680 57113616 71392020 95189360 142784040 285568080