Search a number
-
+
9280968 = 2331920353
BaseRepresentation
bin100011011001…
…110111001000
3122110112002120
4203121313020
54333442333
6530531240
7141613134
oct43316710
918415076
109280968
115269a24
123136b20
131bcc4c8
1413383c4
15c34db3
hex8d9dc8

9280968 has 32 divisors (see below), whose sum is σ = 24424800. Its totient is φ = 2930688.

The previous prime is 9280951. The next prime is 9280979. The reversal of 9280968 is 8690829.

9280968 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×92809682 = 172272734034048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9721 + ... + 10632.

It is an arithmetic number, because the mean of its divisors is an integer number (763275).

Almost surely, 29280968 is an apocalyptic number.

It is an amenable number.

9280968 is an abundant number, since it is smaller than the sum of its proper divisors (15143832).

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

9280968 is a wasteful number, since it uses less digits than its factorization.

9280968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20381 (or 20377 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 9280968 is about 3046.4681189863. The cubic root of 9280968 is about 210.1508213598.

The spelling of 9280968 in words is "nine million, two hundred eighty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 20353 40706 61059 81412 122118 162824 244236 386707 488472 773414 1160121 1546828 2320242 3093656 4640484 9280968