Search a number
-
+
23506040 = 23519157197
BaseRepresentation
bin101100110101…
…0110001111000
31122020020020002
41121222301320
522004143130
62155452132
7403540505
oct131526170
948206202
1023506040
11122a5488
127a57048
134b401cc
14319c4ac
1520e4b45
hex166ac78

23506040 has 64 divisors (see below), whose sum is σ = 56311200. Its totient is φ = 8805888.

The previous prime is 23506009. The next prime is 23506061. The reversal of 23506040 is 4060532.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119222 + ... + 119418.

Almost surely, 223506040 is an apocalyptic number.

23506040 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 23506040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28155600).

23506040 is an abundant number, since it is smaller than the sum of its proper divisors (32805160).

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

23506040 is a wasteful number, since it uses less digits than its factorization.

23506040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 23506040 is about 4848.3027958245. The cubic root of 23506040 is about 286.4572534644.

Adding to 23506040 its reverse (4060532), we get a palindrome (27566572).

The spelling of 23506040 in words is "twenty-three million, five hundred six thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 157 190 197 314 380 394 628 760 785 788 985 1256 1570 1576 1970 2983 3140 3743 3940 5966 6280 7486 7880 11932 14915 14972 18715 23864 29830 29944 30929 37430 59660 61858 74860 119320 123716 149720 154645 247432 309290 587651 618580 1175302 1237160 2350604 2938255 4701208 5876510 11753020 23506040