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286242240 = 2635298169
BaseRepresentation
bin10001000011111…
…011010111000000
3201221121121112110
4101003323113000
51041234222430
644223055320
710044006324
oct2103732700
9657547473
10286242240
11137638039
127ba41540
13473c1a0b
142a031984
151a1e27b0
hex110fb5c0

286242240 has 56 divisors (see below), whose sum is σ = 908822160. Its totient is φ = 76331008.

The previous prime is 286242211. The next prime is 286242259. The reversal of 286242240 is 42242682.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 286242198 and 286242207.

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 7 ways as a sum of consecutive naturals, for example, 148125 + ... + 150044.

Almost surely, 2286242240 is an apocalyptic number.

286242240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286242240 is an abundant number, since it is smaller than the sum of its proper divisors (622579920).

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

286242240 is a wasteful number, since it uses less digits than its factorization.

286242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298189 (or 298179 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 286242240 is about 16918.6949851340. The cubic root of 286242240 is about 659.0391896519.

The spelling of 286242240 in words is "two hundred eighty-six million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 298169 596338 894507 1192676 1490845 1789014 2385352 2981690 3578028 4472535 4770704 5963380 7156056 8945070 9541408 11926760 14312112 17890140 19082816 23853520 28624224 35780280 47707040 57248448 71560560 95414080 143121120 286242240