Search a number
-
+
32054004 = 22325211709
BaseRepresentation
bin111101001000…
…1101011110100
32020022111211100
41322101223310
531201212004
63103010100
7536311623
oct172215364
966274740
1032054004
1117103714
12a899930
136843b88
1443856ba
152c32739
hex1e91af4

32054004 has 36 divisors (see below), whose sum is σ = 81228420. Its totient is φ = 10657920.

The previous prime is 32054003. The next prime is 32054021. The reversal of 32054004 is 40045023.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7551504 + 24502500 = 2748^2 + 4950^2 .

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32054003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17902 + ... + 19610.

It is an arithmetic number, because the mean of its divisors is an integer number (2256345).

Almost surely, 232054004 is an apocalyptic number.

It is an amenable number.

32054004 is an abundant number, since it is smaller than the sum of its proper divisors (49174416).

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

32054004 is a wasteful number, since it uses less digits than its factorization.

32054004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 32054004 is about 5661.6255616210. The cubic root of 32054004 is about 317.6587058668.

Adding to 32054004 its reverse (40045023), we get a palindrome (72099027).

The spelling of 32054004 in words is "thirty-two million, fifty-four thousand, four", and thus it is an eban number.

Divisors: 1 2 3 4 6 9 12 18 36 521 1042 1563 1709 2084 3126 3418 4689 5127 6252 6836 9378 10254 15381 18756 20508 30762 61524 890389 1780778 2671167 3561556 5342334 8013501 10684668 16027002 32054004