Search a number
-
+
872032100 = 22528720321
BaseRepresentation
bin110011111110100…
…010011101100100
32020202212211011012
4303332202131210
53241220011400
6222310401352
730416102432
oct6376423544
92222784135
10872032100
1140826a695
12204060258
1310b883634
1483b59d52
1551854d35
hex33fa2764

872032100 has 18 divisors (see below), whose sum is σ = 1892309874. Its totient is φ = 348812800.

The previous prime is 872032069. The next prime is 872032103. The reversal of 872032100 is 1230278.

It can be written as a sum of positive squares in 3 ways, for example, as 13424896 + 858607204 = 3664^2 + 29302^2 .

It is not an unprimeable number, because it can be changed into a prime (872032103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4360061 + ... + 4360260.

Almost surely, 2872032100 is an apocalyptic number.

It is an amenable number.

872032100 is an abundant number, since it is smaller than the sum of its proper divisors (1020277774).

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

872032100 is a wasteful number, since it uses less digits than its factorization.

872032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8720335 (or 8720328 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 872032100 is about 29530.1896370477. The cubic root of 872032100 is about 955.3829590818.

Adding to 872032100 its reverse (1230278), we get a palindrome (873262378).

The spelling of 872032100 in words is "eight hundred seventy-two million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 8720321 17440642 34881284 43601605 87203210 174406420 218008025 436016050 872032100