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987030 = 232511997
BaseRepresentation
bin11110000111110010110
31212010221200
43300332112
5223041110
633053330
711250432
oct3607626
91763850
10987030
11614630
123b7246
13287355
141b99c2
151476c0
hexf0f96

987030 has 48 divisors (see below), whose sum is σ = 2802384. Its totient is φ = 239040.

The previous prime is 987029. The next prime is 987043. The reversal of 987030 is 30789.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 986985 and 987003.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 987030.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492 + ... + 1488.

It is an arithmetic number, because the mean of its divisors is an integer number (58383).

2987030 is an apocalyptic number.

987030 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 987030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401192).

987030 is an abundant number, since it is smaller than the sum of its proper divisors (1815354).

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

987030 is a wasteful number, since it uses less digits than its factorization.

987030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 987030 is about 993.4938349079. The cubic root of 987030 is about 99.5657839599.

The spelling of 987030 in words is "nine hundred eighty-seven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 997 1994 2991 4985 5982 8973 9970 10967 14955 17946 21934 29910 32901 44865 54835 65802 89730 98703 109670 164505 197406 329010 493515 987030