Search a number
-
+
678133680 = 243572931449
BaseRepresentation
bin101000011010110…
…111111110110000
31202021000202112020
4220122313332300
52342100234210
6151142431440
722543020060
oct5032677660
91667022466
10678133680
11318874964
1216b132580
13aa654643
14660c53a0
153e803770
hex286b7fb0

678133680 has 320 divisors, whose sum is σ = 2571264000. Its totient is φ = 144506880.

The previous prime is 678133591. The next prime is 678133699. The reversal of 678133680 is 86331876.

It is a Cunningham number, because it is equal to 260412-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1510096 + ... + 1510544.

It is an arithmetic number, because the mean of its divisors is an integer number (8035200).

Almost surely, 2678133680 is an apocalyptic number.

678133680 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 678133680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285632000).

678133680 is an abundant number, since it is smaller than the sum of its proper divisors (1893130320).

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

678133680 is a wasteful number, since it uses less digits than its factorization.

678133680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 678133680 is about 26040.9999807995. Note that the first 4 decimals coincide. The cubic root of 678133680 is about 878.5606981683.

The spelling of 678133680 in words is "six hundred seventy-eight million, one hundred thirty-three thousand, six hundred eighty".