Search a number
-
+
6623472240 = 24325711210861
BaseRepresentation
bin1100010101100101…
…00010101001110000
3122002121020020210200
412022302202221300
5102031102102430
63013123555200
7323064404460
oct61262425160
918077206720
106623472240
112899860800
12134a22bb00
138172c2358
1446b945ba0
1528b740460
hex18aca2a70

6623472240 has 360 divisors, whose sum is σ = 27945232224. Its totient is φ = 1376179200.

The previous prime is 6623472209. The next prime is 6623472241. The reversal of 6623472240 is 422743266.

6623472240 is a `hidden beast` number, since 6 + 623 + 4 + 7 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 6623472195 and 6623472204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6623472241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 604410 + ... + 615270.

Almost surely, 26623472240 is an apocalyptic number.

6623472240 is a gapful number since it is divisible by the number (60) 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 6623472240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13972616112).

6623472240 is an abundant number, since it is smaller than the sum of its proper divisors (21321759984).

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

6623472240 is a wasteful number, since it uses less digits than its factorization.

6623472240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10909 (or 10889 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 6623472240 is about 81384.7174843041. The cubic root of 6623472240 is about 1877.9984961217.

The spelling of 6623472240 in words is "six billion, six hundred twenty-three million, four hundred seventy-two thousand, two hundred forty".