Search a number
-
+
94032 = 2432653
BaseRepresentation
bin10110111101010000
311202222200
4112331100
511002112
62003200
7541101
oct267520
9152880
1094032
1164714
1246500
1333a53
14263a8
151ccdc
hex16f50

94032 has 30 divisors (see below), whose sum is σ = 263562. Its totient is φ = 31296.

The previous prime is 94009. The next prime is 94033. The reversal of 94032 is 23049.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 24336 = 264^2 + 156^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 93996 and 94014.

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 94032.

It is not an unprimeable number, because it can be changed into a prime (94033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 183 + ... + 470.

294032 is an apocalyptic number.

It is an amenable number.

94032 is an abundant number, since it is smaller than the sum of its proper divisors (169530).

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

94032 is a wasteful number, since it uses less digits than its factorization.

94032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 94032 is about 306.6463761403. The cubic root of 94032 is about 45.4735183825.

The spelling of 94032 in words is "ninety-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 653 1306 1959 2612 3918 5224 5877 7836 10448 11754 15672 23508 31344 47016 94032