Search a number
-
+
5701973000 = 235319932861
BaseRepresentation
bin1010100111101110…
…10011010000001000
3112201101021020111012
411103313103100020
543134201114000
62341445023052
7261204653663
oct52367232010
915641236435
105701973000
112466684789
1211316b4a88
136cb40c029
143c13d06da
152358b8735
hex153dd3408

5701973000 has 64 divisors (see below), whose sum is σ = 13353977520. Its totient is φ = 2278848000.

The previous prime is 5701972973. The next prime is 5701973083. The reversal of 5701973000 is 3791075.

It can be written as a sum of positive squares in 8 ways, for example, as 598585156 + 5103387844 = 24466^2 + 71438^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1991570 + ... + 1994430.

Almost surely, 25701973000 is an apocalyptic number.

5701973000 is a gapful number since it is divisible by the number (50) 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 5701973000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676988760).

5701973000 is an abundant number, since it is smaller than the sum of its proper divisors (7652004520).

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

5701973000 is a wasteful number, since it uses less digits than its factorization.

5701973000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4875 (or 4861 counting only the distinct ones).

The product of its (nonzero) digits is 6615, while the sum is 32.

The square root of 5701973000 is about 75511.4097338939. The cubic root of 5701973000 is about 1786.5220692798.

The spelling of 5701973000 in words is "five billion, seven hundred one million, nine hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1993 2861 3986 5722 7972 9965 11444 14305 15944 19930 22888 28610 39860 49825 57220 71525 79720 99650 114440 143050 199300 249125 286100 357625 398600 498250 572200 715250 996500 1430500 1993000 2861000 5701973 11403946 22807892 28509865 45615784 57019730 114039460 142549325 228078920 285098650 570197300 712746625 1140394600 1425493250 2850986500 5701973000