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987264 = 2732857
BaseRepresentation
bin11110001000010000000
31212011021100
43301002000
5223043024
633054400
711251215
oct3610200
91764240
10987264
11614823
123b7400
132874a5
141b9b0c
151477c9
hexf1080

987264 has 48 divisors (see below), whose sum is σ = 2844270. Its totient is φ = 328704.

The previous prime is 987251. The next prime is 987293. The reversal of 987264 is 462789.

It can be written as a sum of positive squares in only one way, i.e., 627264 + 360000 = 792^2 + 600^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 987264.

It is an unprimeable number.

987264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 724 + ... + 1580.

987264 is a Friedman number, since it can be written as 9*4^7+6^8/2, using all its digits and the basic arithmetic operations.

2987264 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 987264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422135).

987264 is an abundant number, since it is smaller than the sum of its proper divisors (1857006).

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

987264 is a wasteful number, since it uses less digits than its factorization.

987264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 862 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 987264 is about 993.6115941353. The cubic root of 987264 is about 99.5736515197.

The spelling of 987264 in words is "nine hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 857 1152 1714 2571 3428 5142 6856 7713 10284 13712 15426 20568 27424 30852 41136 54848 61704 82272 109696 123408 164544 246816 329088 493632 987264