Search a number
-
+
24023669040 = 2433572613
BaseRepresentation
bin10110010111111011…
…000001100100110000
32022000020202211112000
4112113323001210300
5343200024402130
615011502334000
71510220550300
oct262773014460
968006684460
1024023669040
11a20880a138
1247a558a300
13235b1957a7
14123c83b600
15959119260
hex597ec1930

24023669040 has 480 divisors, whose sum is σ = 97862397120. Its totient is φ = 5401105920.

The previous prime is 24023669039. The next prime is 24023669041. The reversal of 24023669040 is 4096632042.

It is an interprime number because it is at equal distance from previous prime (24023669039) and next prime (24023669041).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 24023668986 and 24023669004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24023669041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 393830610 + ... + 393830670.

It is an arithmetic number, because the mean of its divisors is an integer number (203879994).

Almost surely, 224023669040 is an apocalyptic number.

24023669040 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 24023669040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48931198560).

24023669040 is an abundant number, since it is smaller than the sum of its proper divisors (73838728080).

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

24023669040 is an frugal number, since it uses more digits than its factorization.

24023669040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 24023669040 in words is "twenty-four billion, twenty-three million, six hundred sixty-nine thousand, forty".