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285423480 = 23335475623
BaseRepresentation
bin10001000000110…
…011011101111000
3201220002000102000
4101000303131320
51041032022410
644153341000
710034026266
oct2100633570
9656060360
10285423480
11137128981
127b707760
1347196144
1429c9b436
151a0cedc0
hex11033778

285423480 has 128 divisors (see below), whose sum is σ = 971827200. Its totient is φ = 74480256.

The previous prime is 285423469. The next prime is 285423493. The reversal of 285423480 is 84324582.

285423480 is a `hidden beast` number, since 2 + 8 + 542 + 34 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47949 + ... + 53571.

It is an arithmetic number, because the mean of its divisors is an integer number (7592400).

Almost surely, 2285423480 is an apocalyptic number.

285423480 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 285423480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485913600).

285423480 is an abundant number, since it is smaller than the sum of its proper divisors (686403720).

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

285423480 is a wasteful number, since it uses less digits than its factorization.

285423480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 285423480 is about 16894.4807555604. The cubic root of 285423480 is about 658.4102232826.

The spelling of 285423480 in words is "two hundred eighty-five million, four hundred twenty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 90 94 108 120 135 141 180 188 216 235 270 282 360 376 423 470 540 564 705 846 940 1080 1128 1269 1410 1692 1880 2115 2538 2820 3384 4230 5076 5623 5640 6345 8460 10152 11246 12690 16869 16920 22492 25380 28115 33738 44984 50607 50760 56230 67476 84345 101214 112460 134952 151821 168690 202428 224920 253035 264281 303642 337380 404856 506070 528562 607284 674760 759105 792843 1012140 1057124 1214568 1321405 1518210 1585686 2024280 2114248 2378529 2642810 3036420 3171372 3964215 4757058 5285620 6072840 6342744 7135587 7928430 9514116 10571240 11892645 14271174 15856860 19028232 23785290 28542348 31713720 35677935 47570580 57084696 71355870 95141160 142711740 285423480