Search a number
-
+
23415140 = 2257223893
BaseRepresentation
bin101100101010…
…0100101100100
31122001121112102
41121110211210
521443241030
62153511232
7403011500
oct131244544
948047472
1023415140
1112243161
127a12518
134b0aa18
143177300
1520c7c45
hex1654964

23415140 has 36 divisors (see below), whose sum is σ = 57202236. Its totient is φ = 8027712.

The previous prime is 23415107. The next prime is 23415143. The reversal of 23415140 is 4151432.

It can be written as a sum of positive squares in 2 ways, for example, as 15808576 + 7606564 = 3976^2 + 2758^2 .

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

It is not an unprimeable number, because it can be changed into a prime (23415143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10967 + ... + 12926.

It is an arithmetic number, because the mean of its divisors is an integer number (1588951).

Almost surely, 223415140 is an apocalyptic number.

23415140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23415140 is an abundant number, since it is smaller than the sum of its proper divisors (33787096).

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

23415140 is a wasteful number, since it uses less digits than its factorization.

23415140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23916 (or 23907 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 23415140 is about 4838.9193008357. The cubic root of 23415140 is about 286.0875243558.

Adding to 23415140 its reverse (4151432), we get a palindrome (27566572).

The spelling of 23415140 in words is "twenty-three million, four hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 23893 47786 95572 119465 167251 238930 334502 477860 669004 836255 1170757 1672510 2341514 3345020 4683028 5853785 11707570 23415140