Search a number
-
+
92040 = 23351359
BaseRepresentation
bin10110011110001000
311200020220
4112132020
510421130
61550040
7532224
oct263610
9150226
1092040
1163173
1245320
1332b80
1425784
151c410
hex16788

92040 has 64 divisors (see below), whose sum is σ = 302400. Its totient is φ = 22272.

The previous prime is 92033. The next prime is 92041. The reversal of 92040 is 4029.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1531 + ... + 1589.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

292040 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 92040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

92040 is an abundant number, since it is smaller than the sum of its proper divisors (210360).

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

92040 is a wasteful number, since it uses less digits than its factorization.

92040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 92040 is about 303.3809486438. The cubic root of 92040 is about 45.1501159538.

Adding to 92040 its reverse (4029), we get a palindrome (96069).

The spelling of 92040 in words is "ninety-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 59 60 65 78 104 118 120 130 156 177 195 236 260 295 312 354 390 472 520 590 708 767 780 885 1180 1416 1534 1560 1770 2301 2360 3068 3540 3835 4602 6136 7080 7670 9204 11505 15340 18408 23010 30680 46020 92040