Search a number
-
+
23410240 = 265721493
BaseRepresentation
bin101100101001…
…1011001000000
31122001100210221
41121103121000
521443111430
62153432424
7402661300
oct131233100
948040727
1023410240
111223a507
127a0b714
134b08719
143175600
1520c657a
hex1653640

23410240 has 84 divisors (see below), whose sum is σ = 64890396. Its totient is φ = 8020992.

The previous prime is 23410237. The next prime is 23410267. The reversal of 23410240 is 4201432.

It can be written as a sum of positive squares in 2 ways, for example, as 14930496 + 8479744 = 3864^2 + 2912^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14934 + ... + 16426.

Almost surely, 223410240 is an apocalyptic number.

23410240 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 23410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32445198).

23410240 is an abundant number, since it is smaller than the sum of its proper divisors (41480156).

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

23410240 is a wasteful number, since it uses less digits than its factorization.

23410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 23410240 is about 4838.4129629456. The cubic root of 23410240 is about 286.0675668031.

Adding to 23410240 its reverse (4201432), we get a palindrome (27611672).

The spelling of 23410240 in words is "twenty-three million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1493 1568 1960 2240 2986 3136 3920 5972 7465 7840 10451 11944 14930 15680 20902 23888 29860 41804 47776 52255 59720 73157 83608 95552 104510 119440 146314 167216 209020 238880 292628 334432 365785 418040 477760 585256 668864 731570 836080 1170512 1463140 1672160 2341024 2926280 3344320 4682048 5852560 11705120 23410240