Search a number
-
+
705199950 = 23252713171013
BaseRepresentation
bin101010000010000…
…111111101001110
31211010221212110200
4222002013331032
52421012344300
6153550514330
723322046350
oct5202077516
91733855420
10705199950
11332081184
121782059a6
13b31401a0
146992d0d0
1541d9d200
hex2a087f4e

705199950 has 288 divisors, whose sum is σ = 2471466816. Its totient is φ = 139898880.

The previous prime is 705199949. The next prime is 705199951. The reversal of 705199950 is 59991507.

705199950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (705199949) and next prime (705199951).

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

It is a junction number, because it is equal to n+sod(n) for n = 705199896 and 705199905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705199951) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 695644 + ... + 696656.

It is an arithmetic number, because the mean of its divisors is an integer number (8581482).

Almost surely, 2705199950 is an apocalyptic number.

705199950 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 705199950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235733408).

705199950 is an abundant number, since it is smaller than the sum of its proper divisors (1766266866).

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

705199950 is a wasteful number, since it uses less digits than its factorization.

705199950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 127575, while the sum is 45.

The square root of 705199950 is about 26555.6011040985. The cubic root of 705199950 is about 890.0971782959.

The spelling of 705199950 in words is "seven hundred five million, one hundred ninety-nine thousand, nine hundred fifty".