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990972 = 223227527
BaseRepresentation
bin11110001111011111100
31212100100200
43301323330
5223202342
633123500
711265063
oct3617374
91770320
10990972
11617594
123b9590
13289098
141bb1da
1514894c
hexf1efc

990972 has 18 divisors (see below), whose sum is σ = 2505048. Its totient is φ = 330312.

The previous prime is 990967. The next prime is 990973. The reversal of 990972 is 279099.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 27527 = 990972 / (9 + 9 + 0 + 9 + 7 + 2).

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 990972.

It is not an unprimeable number, because it can be changed into a prime (990973) by changing a digit.

990972 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, 13728 + ... + 13799.

2990972 is an apocalyptic number.

It is an amenable number.

990972 is an abundant number, since it is smaller than the sum of its proper divisors (1514076).

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

990972 is a wasteful number, since it uses less digits than its factorization.

990972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27537 (or 27532 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 990972 is about 995.4757656518. The cubic root of 990972 is about 99.6981564883.

It can be divided in two parts, 99097 and 2, that added together give a palindrome (99099).

The spelling of 990972 in words is "nine hundred ninety thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 27527 55054 82581 110108 165162 247743 330324 495486 990972