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24130640 = 2451072819
BaseRepresentation
bin101110000001…
…1010001010000
31200101222000102
41130003101100
522134140030
62221111532
7412051502
oct134032120
950358012
1024130640
1112691786
1280b85a8
134ccb5b1
1432c1d72
1521b9c45
hex1703450

24130640 has 40 divisors (see below), whose sum is σ = 56648160. Its totient is φ = 9558656.

The previous prime is 24130637. The next prime is 24130643. The reversal of 24130640 is 4603142.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (24130637) and next prime (24130643).

It is a tau number, because it is divible by the number of its divisors (40).

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 (24130643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7151 + ... + 9969.

It is an arithmetic number, because the mean of its divisors is an integer number (1416204).

Almost surely, 224130640 is an apocalyptic number.

24130640 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 24130640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28324080).

24130640 is an abundant number, since it is smaller than the sum of its proper divisors (32517520).

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

24130640 is a wasteful number, since it uses less digits than its factorization.

24130640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 24130640 is about 4912.2947794284. The cubic root of 24130640 is about 288.9723436296.

Adding to 24130640 its reverse (4603142), we get a palindrome (28733782).

The spelling of 24130640 in words is "twenty-four million, one hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 856 1070 1712 2140 2819 4280 5638 8560 11276 14095 22552 28190 45104 56380 112760 225520 301633 603266 1206532 1508165 2413064 3016330 4826128 6032660 12065320 24130640