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285213720 = 233511216071
BaseRepresentation
bin10001000000000…
…000010000011000
3201212200100200010
4101000000100120
51041003314340
644145041520
710032163611
oct2100002030
9655610603
10285213720
11136aa5320
127b6262a0
134712181c
1429c44c08
151a08cb80
hex11000418

285213720 has 64 divisors (see below), whose sum is σ = 933431040. Its totient is φ = 69142400.

The previous prime is 285213713. The next prime is 285213727. The reversal of 285213720 is 27312582.

It is an interprime number because it is at equal distance from previous prime (285213713) and next prime (285213727).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285213727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106716 + ... + 109355.

It is an arithmetic number, because the mean of its divisors is an integer number (14584860).

Almost surely, 2285213720 is an apocalyptic number.

285213720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285213720 is an abundant number, since it is smaller than the sum of its proper divisors (648217320).

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

285213720 is a wasteful number, since it uses less digits than its factorization.

285213720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216096 (or 216092 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 285213720 is about 16888.2716700082. The cubic root of 285213720 is about 658.2488934410.

The spelling of 285213720 in words is "two hundred eighty-five million, two hundred thirteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 216071 432142 648213 864284 1080355 1296426 1728568 2160710 2376781 2592852 3241065 4321420 4753562 5185704 6482130 7130343 8642840 9507124 11883905 12964260 14260686 19014248 23767810 25928520 28521372 35651715 47535620 57042744 71303430 95071240 142606860 285213720