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1987164 = 2232172191
BaseRepresentation
bin111100101001001011100
310201221212200
413211021130
51002042124
6110331500
722614324
oct7451134
93657780
101987164
111137a93
127b9b90
1354764a
1439a284
15293bc9
hex1e525c

1987164 has 54 divisors (see below), whose sum is σ = 5363904. Its totient is φ = 620160.

The previous prime is 1987157. The next prime is 1987189. The reversal of 1987164 is 4617891.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10309 + ... + 10499.

21987164 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 1987164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681952).

1987164 is an abundant number, since it is smaller than the sum of its proper divisors (3376740).

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

1987164 is a wasteful number, since it uses less digits than its factorization.

1987164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 213 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 1987164 is about 1409.6680460307. The cubic root of 1987164 is about 125.7219871807.

The spelling of 1987164 in words is "one million, nine hundred eighty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 191 204 289 306 382 573 578 612 764 867 1146 1156 1719 1734 2292 2601 3247 3438 3468 5202 6494 6876 9741 10404 12988 19482 29223 38964 55199 58446 110398 116892 165597 220796 331194 496791 662388 993582 1987164