Search a number
-
+
23042500 = 225413709
BaseRepresentation
bin101011111100…
…1100111000100
31121100200100221
41113321213010
521344330000
62141514124
7366600205
oct127714704
947320327
1023042500
1112009198
127872944
134a0a220
1430bb5ac
15205261a
hex15f99c4

23042500 has 60 divisors (see below), whose sum is σ = 54341980. Its totient is φ = 8496000.

The previous prime is 23042479. The next prime is 23042561. The reversal of 23042500 is 524032.

It can be written as a sum of positive squares in 10 ways, for example, as 22810176 + 232324 = 4776^2 + 482^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32146 + ... + 32854.

Almost surely, 223042500 is an apocalyptic number.

23042500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23042500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27170990).

23042500 is an abundant number, since it is smaller than the sum of its proper divisors (31299480).

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

23042500 is a wasteful number, since it uses less digits than its factorization.

23042500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 23042500 is about 4800.2604096028. The cubic root of 23042500 is about 284.5617559236.

Adding to 23042500 its reverse (524032), we get a palindrome (23566532).

It can be divided in two parts, 2304 and 2500, that multiplied together give a square (5760000 = 24002).

The spelling of 23042500 in words is "twenty-three million, forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 625 650 709 1250 1300 1418 1625 2500 2836 3250 3545 6500 7090 8125 9217 14180 16250 17725 18434 32500 35450 36868 46085 70900 88625 92170 177250 184340 230425 354500 443125 460850 886250 921700 1152125 1772500 2304250 4608500 5760625 11521250 23042500