Search a number
-
+
630063840 = 253572331263
BaseRepresentation
bin100101100011100…
…000001011100000
31121220120120002210
4211203200023200
52242244020330
6142304242120
721420311550
oct4543401340
91556516083
10630063840
112a372231a
12157010340
13a06c3953
145d971160
153a4aa8b0
hex258e02e0

630063840 has 384 divisors, whose sum is σ = 2452488192. Its totient is φ = 132802560.

The previous prime is 630063839. The next prime is 630063859. The reversal of 630063840 is 48360036.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 630063798 and 630063807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2395549 + ... + 2395811.

It is an arithmetic number, because the mean of its divisors is an integer number (6386688).

Almost surely, 2630063840 is an apocalyptic number.

630063840 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 630063840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226244096).

630063840 is an abundant number, since it is smaller than the sum of its proper divisors (1822424352).

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

630063840 is a wasteful number, since it uses less digits than its factorization.

630063840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 630063840 is about 25101.0724870472. The cubic root of 630063840 is about 857.2908436549.

The spelling of 630063840 in words is "six hundred thirty million, sixty-three thousand, eight hundred forty".