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987012 = 2233131937
BaseRepresentation
bin11110000111110000100
31212010221000
43300332010
5223041022
633053300
711250405
oct3607604
91763830
10987012
11614614
123b7230
13287340
141b99ac
151476ac
hexf0f84

987012 has 96 divisors (see below), whose sum is σ = 2979200. Its totient is φ = 279936.

The previous prime is 986989. The next prime is 987013. The reversal of 987012 is 210789.

987012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 987012.

It is not an unprimeable number, because it can be changed into a prime (987013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26658 + ... + 26694.

2987012 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 987012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489600).

987012 is an abundant number, since it is smaller than the sum of its proper divisors (1992188).

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

987012 is a wasteful number, since it uses less digits than its factorization.

987012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 74 counting only the distinct ones).

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

The square root of 987012 is about 993.4847759276. The cubic root of 987012 is about 99.5651787115.

The spelling of 987012 in words is "nine hundred eighty-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 37 38 39 52 54 57 74 76 78 108 111 114 117 148 156 171 222 228 234 247 333 342 351 444 468 481 494 513 666 684 702 703 741 962 988 999 1026 1332 1404 1406 1443 1482 1924 1998 2052 2109 2223 2812 2886 2964 3996 4218 4329 4446 5772 6327 6669 8436 8658 8892 9139 12654 12987 13338 17316 18278 18981 25308 25974 26676 27417 36556 37962 51948 54834 75924 82251 109668 164502 246753 329004 493506 987012