Search a number
-
+
714193920 = 210325111409
BaseRepresentation
bin101010100100011…
…011110000000000
31211202212210212200
4222210123300000
52430313201140
6154511353200
723461356006
oct5244336000
91752783780
10714193920
11337164510
1217b222800
13b4c6bb6b
146abd0a76
1542a78030
hex2a91bc00

714193920 has 264 divisors, whose sum is σ = 2701548720. Its totient is φ = 173015040.

The previous prime is 714193897. The next prime is 714193957. The reversal of 714193920 is 29391417.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 506176 + ... + 507584.

Almost surely, 2714193920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350774360).

714193920 is an abundant number, since it is smaller than the sum of its proper divisors (1987354800).

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

714193920 is a wasteful number, since it uses less digits than its factorization.

714193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 714193920 is about 26724.4068222290. The cubic root of 714193920 is about 893.8652410124.

The spelling of 714193920 in words is "seven hundred fourteen million, one hundred ninety-three thousand, nine hundred twenty".