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987042 = 23771331
BaseRepresentation
bin11110000111110100010
31212010222010
43300332202
5223041132
633053350
711250450
oct3607642
91763863
10987042
11614641
123b7256
13287364
141b99d0
151476cc
hexf0fa2

987042 has 32 divisors (see below), whose sum is σ = 2294784. Its totient is φ = 277200.

The previous prime is 987029. The next prime is 987043. The reversal of 987042 is 240789.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2817 + ... + 3147.

It is an arithmetic number, because the mean of its divisors is an integer number (71712).

2987042 is an apocalyptic number.

It is a pronic number, being equal to 993×994.

It is a practical number, because each smaller number is the sum of distinct divisors of 987042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147392).

987042 is an abundant number, since it is smaller than the sum of its proper divisors (1307742).

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

987042 is a wasteful number, since it uses less digits than its factorization.

987042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 987042 is about 993.4998741822. The cubic root of 987042 is about 99.5661874548.

It can be divided in two parts, 98 and 7042, that added together give a triangular number (7140 = T119).

The spelling of 987042 in words is "nine hundred eighty-seven thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 331 426 497 662 993 994 1491 1986 2317 2982 4634 6951 13902 23501 47002 70503 141006 164507 329014 493521 987042