Search a number
-
+
9942084 = 2232277997
BaseRepresentation
bin100101111011…
…010001000100
3200201002222100
4211323101010
510021121314
6553032100
7150335445
oct45732104
920632870
109942084
1156806a9
1233b5630
1320a13b9
14146b2cc
15d15c09
hex97b444

9942084 has 36 divisors (see below), whose sum is σ = 25247404. Its totient is φ = 3298752.

The previous prime is 9942077. The next prime is 9942133. The reversal of 9942084 is 4802499.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5198400 + 4743684 = 2280^2 + 2178^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9474 + ... + 10470.

Almost surely, 29942084 is an apocalyptic number.

It is an amenable number.

9942084 is an abundant number, since it is smaller than the sum of its proper divisors (15305320).

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

9942084 is a wasteful number, since it uses less digits than its factorization.

9942084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9942084 is about 3153.1070390965. The cubic root of 9942084 is about 215.0267426623.

The spelling of 9942084 in words is "nine million, nine hundred forty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 277 554 831 997 1108 1662 1994 2493 2991 3324 3988 4986 5982 8973 9972 11964 17946 35892 276169 552338 828507 1104676 1657014 2485521 3314028 4971042 9942084