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201685820 = 22574992887
BaseRepresentation
bin11000000010101…
…11101100111100
3112001111200221012
430001113230330
5403112421240
632002454352
74666205210
oct1401275474
9461450835
10201685820
11a39345a6
12576643b8
1332a2772b
141cb00940
1512a8db65
hexc057b3c

201685820 has 48 divisors (see below), whose sum is σ = 485184000. Its totient is φ = 68986944.

The previous prime is 201685753. The next prime is 201685843. The reversal of 201685820 is 28586102.

201685820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 68417 + ... + 71303.

It is an arithmetic number, because the mean of its divisors is an integer number (10108000).

Almost surely, 2201685820 is an apocalyptic number.

201685820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201685820 is an abundant number, since it is smaller than the sum of its proper divisors (283498180).

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

201685820 is a wasteful number, since it uses less digits than its factorization.

201685820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 201685820 is about 14201.6132886373. The cubic root of 201685820 is about 586.4420749874.

The spelling of 201685820 in words is "two hundred one million, six hundred eighty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 499 998 1996 2495 2887 3493 4990 5774 6986 9980 11548 13972 14435 17465 20209 28870 34930 40418 57740 69860 80836 101045 202090 404180 1440613 2881226 5762452 7203065 10084291 14406130 20168582 28812260 40337164 50421455 100842910 201685820