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2000988 = 22321131163
BaseRepresentation
bin111101000100001011100
310202122211200
413220201130
51003012423
6110515500
723002533
oct7504134
93678750
102000988
111147410
12805b90
13550a22
143a131a
15297d43
hex1e885c

2000988 has 72 divisors (see below), whose sum is σ = 5730816. Its totient is φ = 583200.

The previous prime is 2000969. The next prime is 2000989. The reversal of 2000988 is 8890002.

It is a super-2 number, since 2×20009882 = 8007905952288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12195 + ... + 12357.

22000988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865408).

2000988 is an abundant number, since it is smaller than the sum of its proper divisors (3729828).

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

2000988 is a wasteful number, since it uses less digits than its factorization.

2000988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2000988 is about 1414.5628299938. The cubic root of 2000988 is about 126.0128482741.

The spelling of 2000988 in words is "two million, nine hundred eighty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 163 186 198 279 326 341 372 396 489 558 652 682 978 1023 1116 1364 1467 1793 1956 2046 2934 3069 3586 4092 5053 5379 5868 6138 7172 10106 10758 12276 15159 16137 20212 21516 30318 32274 45477 55583 60636 64548 90954 111166 166749 181908 222332 333498 500247 666996 1000494 2000988