Search a number
-
+
4690068480 = 21034543263
BaseRepresentation
bin1000101111000110…
…01100010000000000
3110002212012011110000
410113203030100000
534101124142410
62053220240000
7224136632016
oct42743142000
913085164400
104690068480
111a9746a959
12aaa840000
13599894466
14326c648b6
151c6b34dc0
hex1178cc400

4690068480 has 440 divisors, whose sum is σ = 17262793152. Its totient is φ = 1216954368.

The previous prime is 4690068473. The next prime is 4690068497. The reversal of 4690068480 is 848600964.

It is a happy number.

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

It is a nialpdrome in base 12.

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 39 ways as a sum of consecutive naturals, for example, 17832829 + ... + 17833091.

Almost surely, 24690068480 is an apocalyptic number.

4690068480 is a gapful number since it is divisible by the number (40) 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 4690068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8631396576).

4690068480 is an abundant number, since it is smaller than the sum of its proper divisors (12572724672).

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

4690068480 is a wasteful number, since it uses less digits than its factorization.

4690068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4690068480 is about 68484.0746451319. The cubic root of 4690068480 is about 1673.8879949726.

The spelling of 4690068480 in words is "four billion, six hundred ninety million, sixty-eight thousand, four hundred eighty".