Search a number
-
+
23730796800 = 28355215259
BaseRepresentation
bin10110000110011101…
…110011100100000000
32021020211200101100000
4112012131303210000
5342100040444200
614522441200000
71500033305334
oct260635634400
967224611300
1023730796800
11a078463967
124723490000
1323125c20c9
1412119a17c4
1593d567300
hex586773900

23730796800 has 324 divisors, whose sum is σ = 87991052240. Its totient is φ = 6327797760.

The previous prime is 23730796787. The next prime is 23730796813. The reversal of 23730796800 is 869703732.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23730796787) and next prime (23730796813).

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1547571 + ... + 1562829.

Almost surely, 223730796800 is an apocalyptic number.

23730796800 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 23730796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43995526120).

23730796800 is an abundant number, since it is smaller than the sum of its proper divisors (64260255440).

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

23730796800 is an equidigital number, since it uses as much as digits as its factorization.

23730796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15300 (or 15269 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 23730796800 in words is "twenty-three billion, seven hundred thirty million, seven hundred ninety-six thousand, eight hundred".