Search a number
-
+
9011264 = 261031367
BaseRepresentation
bin100010011000…
…000001000000
3121221211010112
4202120001000
54301330024
6521050452
7136410623
oct42300100
917854115
109011264
1150a5329
123026a28
131b36812
1412a7dba
15bd000e
hex898040

9011264 has 28 divisors (see below), whose sum is σ = 18068544. Its totient is φ = 4458624.

The previous prime is 9011251. The next prime is 9011269. The reversal of 9011264 is 4621109.

It is a happy number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9011269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5909 + ... + 7275.

Almost surely, 29011264 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 9011264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9034272).

9011264 is an abundant number, since it is smaller than the sum of its proper divisors (9057280).

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

9011264 is a wasteful number, since it uses less digits than its factorization.

9011264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 9011264 is about 3001.8767463039. The cubic root of 9011264 is about 208.0951241433.

The spelling of 9011264 in words is "nine million, eleven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 103 206 412 824 1367 1648 2734 3296 5468 6592 10936 21872 43744 87488 140801 281602 563204 1126408 2252816 4505632 9011264