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2021985 = 32573131
BaseRepresentation
bin111101101101001100001
310210201122100
413231221201
51004200420
6111201013
723121000
oct7555141
93721570
102021985
111161169
12816169
1355a454
143a8c37
1529e190
hex1eda61

2021985 has 48 divisors (see below), whose sum is σ = 4118400. Its totient is φ = 917280.

The previous prime is 2021959. The next prime is 2022011. The reversal of 2021985 is 5891202.

It is an interprime number because it is at equal distance from previous prime (2021959) and next prime (2022011).

It is not a de Polignac number, because 2021985 - 28 = 2021729 is a prime.

2021985 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15370 + ... + 15500.

It is an arithmetic number, because the mean of its divisors is an integer number (85800).

22021985 is an apocalyptic number.

It is an amenable number.

2021985 is an abundant number, since it is smaller than the sum of its proper divisors (2096415).

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

2021985 is a wasteful number, since it uses less digits than its factorization.

2021985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2021985 is about 1421.9651894473. The cubic root of 2021985 is about 126.4520797314.

It can be divided in two parts, 202 and 1985, that added together give a 7-th power (2187 = 37).

The spelling of 2021985 in words is "two million, twenty-one thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 131 147 245 315 343 393 441 655 735 917 1029 1179 1715 1965 2205 2751 3087 4585 5145 5895 6419 8253 13755 15435 19257 32095 41265 44933 57771 96285 134799 224665 288855 404397 673995 2021985