Search a number
-
+
8730972 = 2232298363
BaseRepresentation
bin100001010011…
…100101011100
3121102120122100
4201103211130
54213342342
6511045100
7134132505
oct41234534
917376570
108730972
114a23788
122b10790
131a69073
141233bac
15b76e4c
hex85395c

8730972 has 36 divisors (see below), whose sum is σ = 22833720. Its totient is φ = 2809632.

The previous prime is 8730949. The next prime is 8730977. The reversal of 8730972 is 2790378.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8730977) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3138 + ... + 5225.

It is an arithmetic number, because the mean of its divisors is an integer number (634270).

Almost surely, 28730972 is an apocalyptic number.

It is an amenable number.

8730972 is an abundant number, since it is smaller than the sum of its proper divisors (14102748).

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

8730972 is a wasteful number, since it uses less digits than its factorization.

8730972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8402 (or 8397 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 8730972 is about 2954.8218220394. The cubic root of 8730972 is about 205.9147855045.

The spelling of 8730972 in words is "eight million, seven hundred thirty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 8363 16726 25089 33452 50178 75267 100356 150534 242527 301068 485054 727581 970108 1455162 2182743 2910324 4365486 8730972