Search a number
-
+
9920016 = 243322963
BaseRepresentation
bin100101110101…
…111000010000
3200122222201000
4211311320100
510014420031
6552342000
7150214221
oct45657020
920588630
109920016
115666067
1233a4900
132094342
141463248
15d0e3e6
hex975e10

9920016 has 40 divisors (see below), whose sum is σ = 28475360. Its totient is φ = 3306528.

The previous prime is 9919997. The next prime is 9920021. The reversal of 9920016 is 6100299.

It is a happy number.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11050 + ... + 11913.

It is an arithmetic number, because the mean of its divisors is an integer number (711884).

Almost surely, 29920016 is an apocalyptic number.

It is an amenable number.

9920016 is an abundant number, since it is smaller than the sum of its proper divisors (18555344).

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

9920016 is a wasteful number, since it uses less digits than its factorization.

9920016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22980 (or 22968 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 9920016 is about 3149.6056896062. The cubic root of 9920016 is about 214.8675297178.

The spelling of 9920016 in words is "nine million, nine hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 22963 45926 68889 91852 137778 183704 206667 275556 367408 413334 551112 620001 826668 1102224 1240002 1653336 2480004 3306672 4960008 9920016