Search a number
-
+
285605136 = 24332292887
BaseRepresentation
bin10001000001011…
…111110100010000
3201220102020121000
4101001133310100
51041103331021
644201302000
710035414015
oct2101376420
9656366530
10285605136
11137242403
127b794900
134722aa2b
1429d0770c
151a118b26
hex1105fd10

285605136 has 80 divisors (see below), whose sum is σ = 823657600. Its totient is φ = 94753152.

The previous prime is 285605129. The next prime is 285605143. The reversal of 285605136 is 631506582.

285605136 is a `hidden beast` number, since 2 + 85 + 60 + 513 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (285605129) and next prime (285605143).

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

It is a self number, because there is not a number n which added to its sum of digits gives 285605136.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97485 + ... + 100371.

It is an arithmetic number, because the mean of its divisors is an integer number (10295720).

Almost surely, 2285605136 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 285605136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411828800).

285605136 is an abundant number, since it is smaller than the sum of its proper divisors (538052464).

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

285605136 is a wasteful number, since it uses less digits than its factorization.

285605136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 285605136 is about 16899.8560940619. The cubic root of 285605136 is about 658.5498740251.

The spelling of 285605136 in words is "two hundred eighty-five million, six hundred five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 229 432 458 687 916 1374 1832 2061 2748 2887 3664 4122 5496 5774 6183 8244 8661 10992 11548 12366 16488 17322 23096 24732 25983 32976 34644 46192 49464 51966 69288 77949 98928 103932 138576 155898 207864 311796 415728 623592 661123 1247184 1322246 1983369 2644492 3966738 5288984 5950107 7933476 10577968 11900214 15866952 17850321 23800428 31733904 35700642 47600856 71401284 95201712 142802568 285605136