Search a number
-
+
207930528 = 253213193779
BaseRepresentation
bin11000110010011…
…00010010100000
3112111020222001200
430121030102200
5411212234103
632344401200
75103244311
oct1431142240
9474228050
10207930528
11a740a313
1259776200
1334102c20
141d888608
15133c40a3
hexc64c4a0

207930528 has 288 divisors, whose sum is σ = 697132800. Its totient is φ = 58226688.

The previous prime is 207930469. The next prime is 207930589. The reversal of 207930528 is 825039702.

It is a happy number.

207930528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 207930492 and 207930501.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2631993 + ... + 2632071.

It is an arithmetic number, because the mean of its divisors is an integer number (2420600).

Almost surely, 2207930528 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 207930528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348566400).

207930528 is an abundant number, since it is smaller than the sum of its proper divisors (489202272).

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

207930528 is a wasteful number, since it uses less digits than its factorization.

207930528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 207930528 is about 14419.7963924599. The cubic root of 207930528 is about 592.4332414236.

The spelling of 207930528 in words is "two hundred seven million, nine hundred thirty thousand, five hundred twenty-eight".