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2002158 = 23417727
BaseRepresentation
bin111101000110011101110
310202201110000
413220303232
51003032113
6110525130
723006124
oct7506356
93681400
102002158
111148284
128067a6
13551412
143a1914
15298373
hex1e8cee

2002158 has 40 divisors (see below), whose sum is σ = 4756752. Its totient is φ = 627264.

The previous prime is 2002157. The next prime is 2002159. The reversal of 2002158 is 8512002.

It is an interprime number because it is at equal distance from previous prime (2002157) and next prime (2002159).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2002158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2391 + ... + 3117.

22002158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378376).

2002158 is an abundant number, since it is smaller than the sum of its proper divisors (2754594).

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

2002158 is a wasteful number, since it uses less digits than its factorization.

2002158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2002158 is about 1414.9763248903. The cubic root of 2002158 is about 126.0374038613.

The spelling of 2002158 in words is "two million, two thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 727 918 1377 1454 2181 2754 4362 6543 12359 13086 19629 24718 37077 39258 58887 74154 111231 117774 222462 333693 667386 1001079 2002158