Search a number
-
+
23520389440 = 2651731211661
BaseRepresentation
bin10101111001111011…
…001010100101000000
32020201011202120200211
4111321323022211000
5341132204430230
614445523323504
71461600003652
oct257173124500
966634676624
1023520389440
119a7a712789
124684b20594
1322aab32a02
1411d1a706d2
15929d5442a
hex579eca940

23520389440 has 224 divisors, whose sum is σ = 61598665728. Its totient is φ = 8515584000.

The previous prime is 23520389359. The next prime is 23520389489. The reversal of 23520389440 is 4498302532.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 23520389393 and 23520389402.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35582710 + ... + 35583370.

Almost surely, 223520389440 is an apocalyptic number.

23520389440 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 23520389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30799332864).

23520389440 is an abundant number, since it is smaller than the sum of its proper divisors (38078276288).

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

23520389440 is a wasteful number, since it uses less digits than its factorization.

23520389440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 23520389440 in words is "twenty-three billion, five hundred twenty million, three hundred eighty-nine thousand, four hundred forty".