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285215940 = 2232510914537
BaseRepresentation
bin10001000000000…
…000110011000100
3201212200110201100
4101000000303010
51041003402230
644145100100
710032203232
oct2100006304
9655613640
10285215940
11136aa6a59
127b627630
1347122839
1429c45952
151a08d660
hex11000cc4

285215940 has 72 divisors (see below), whose sum is σ = 873152280. Its totient is φ = 75354624.

The previous prime is 285215911. The next prime is 285215963. The reversal of 285215940 is 49512582.

It can be written as a sum of positive squares in 4 ways, for example, as 22581504 + 262634436 = 4752^2 + 16206^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 285215895 and 285215904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12352 + ... + 26888.

It is an arithmetic number, because the mean of its divisors is an integer number (12127115).

Almost surely, 2285215940 is an apocalyptic number.

285215940 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 285215940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436576140).

285215940 is an abundant number, since it is smaller than the sum of its proper divisors (587936340).

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

285215940 is a wasteful number, since it uses less digits than its factorization.

285215940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14661 (or 14656 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 285215940 is about 16888.3373959665. The cubic root of 285215940 is about 658.2506012933.

It can be divided in two parts, 285 and 215940, that added together give a square (216225 = 4652).

The spelling of 285215940 in words is "two hundred eighty-five million, two hundred fifteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3924 4905 6540 9810 14537 19620 29074 43611 58148 72685 87222 130833 145370 174444 218055 261666 290740 436110 523332 654165 872220 1308330 1584533 2616660 3169066 4753599 6338132 7922665 9507198 14260797 15845330 19014396 23767995 28521594 31690660 47535990 57043188 71303985 95071980 142607970 285215940