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987102 = 232293161
BaseRepresentation
bin11110000111111011110
31212011001100
43300333132
5223041402
633053530
711250564
oct3607736
91764040
10987102
11614696
123b72a6
132873ac
141b9a34
1514771c
hexf0fde

987102 has 48 divisors (see below), whose sum is σ = 2321280. Its totient is φ = 302400.

The previous prime is 987101. The next prime is 987127. The reversal of 987102 is 201789.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987101) 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, 16152 + ... + 16212.

It is an arithmetic number, because the mean of its divisors is an integer number (48360).

2987102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160640).

987102 is an abundant number, since it is smaller than the sum of its proper divisors (1334178).

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

987102 is a wasteful number, since it uses less digits than its factorization.

987102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 987102 is about 993.5300700029. The cubic root of 987102 is about 99.5682048800.

It can be divided in two parts, 987 and 102, that added together give a square (1089 = 332).

The spelling of 987102 in words is "nine hundred eighty-seven thousand, one hundred two".

Divisors: 1 2 3 6 9 18 29 31 58 61 62 87 93 122 174 183 186 261 279 366 522 549 558 899 1098 1769 1798 1891 2697 3538 3782 5307 5394 5673 8091 10614 11346 15921 16182 17019 31842 34038 54839 109678 164517 329034 493551 987102