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23414240 = 255612399
BaseRepresentation
bin101100101010…
…0010111100000
31122001120022002
41121110113200
521443223430
62153503132
7403006043
oct131242740
948046262
1023414240
1112242513
127a11aa8
134b0a4a5
143176c5a
1520c7845
hex16545e0

23414240 has 48 divisors (see below), whose sum is σ = 56246400. Its totient is φ = 9208320.

The previous prime is 23414227. The next prime is 23414243. The reversal of 23414240 is 4241432.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23414243) 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 7 ways as a sum of consecutive naturals, for example, 8561 + ... + 10959.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 223414240 is an apocalyptic number.

23414240 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 23414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123200).

23414240 is an abundant number, since it is smaller than the sum of its proper divisors (32832160).

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

23414240 is a wasteful number, since it uses less digits than its factorization.

23414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 23414240 is about 4838.8263039708. The cubic root of 23414240 is about 286.0838588916.

Adding to 23414240 its reverse (4241432), we get a palindrome (27655672).

The spelling of 23414240 in words is "twenty-three million, four hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2399 2440 4798 4880 9596 9760 11995 19192 23990 38384 47980 76768 95960 146339 191920 292678 383840 585356 731695 1170712 1463390 2341424 2926780 4682848 5853560 11707120 23414240