Search a number
-
+
23723058240 = 2632574725037
BaseRepresentation
bin10110000110000000…
…010010010001000000
32021020022010020000200
4112012000102101000
5342041100330430
614522003245200
71466610445050
oct260600222100
967208106020
1023723058240
11a074058862
124720979800
132310b1298b
141210949560
1593ca39460
hex586012440

23723058240 has 336 divisors, whose sum is σ = 95242148352. Its totient is φ = 5306830848.

The previous prime is 23723058211. The next prime is 23723058253. The reversal of 23723058240 is 4285032732.

23723058240 is a `hidden beast` number, since 2 + 3 + 7 + 2 + 30 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 23723058195 and 23723058204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935002 + ... + 960038.

Almost surely, 223723058240 is an apocalyptic number.

23723058240 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 23723058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47621074176).

23723058240 is an abundant number, since it is smaller than the sum of its proper divisors (71519090112).

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

23723058240 is a wasteful number, since it uses less digits than its factorization.

23723058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25114 (or 25101 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 23723058240 in words is "twenty-three billion, seven hundred twenty-three million, fifty-eight thousand, two hundred forty".