Search a number
-
+
663080040 = 233357139631
BaseRepresentation
bin100111100001011…
…100110001101000
31201012200221211000
4213201130301220
52324222030130
6145444035000
722301041650
oct4741346150
91635627730
10663080040
11310322937
12166092a60
13a74b376c
14640c7360
153d32d260
hex2785cc68

663080040 has 256 divisors, whose sum is σ = 2548224000. Its totient is φ = 150232320.

The previous prime is 663080023. The next prime is 663080051. The reversal of 663080040 is 40080366.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 663079986 and 663080013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1050525 + ... + 1051155.

It is an arithmetic number, because the mean of its divisors is an integer number (9954000).

Almost surely, 2663080040 is an apocalyptic number.

663080040 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 663080040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274112000).

663080040 is an abundant number, since it is smaller than the sum of its proper divisors (1885143960).

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

663080040 is a wasteful number, since it uses less digits than its factorization.

663080040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 663080040 is about 25750.3405802719. The cubic root of 663080040 is about 872.0110434031.

The spelling of 663080040 in words is "six hundred sixty-three million, eighty thousand, forty".