Search a number
-
+
9134208 = 2734881
BaseRepresentation
bin100010110110…
…000010000000
3122012001210000
4202312002000
54314243313
6523440000
7140432226
oct42660200
918161700
109134208
115179736
123086000
131b7a775
1412dab16
15c06673
hex8b6080

9134208 has 80 divisors (see below), whose sum is σ = 27214110. Its totient is φ = 3041280.

The previous prime is 9134207. The next prime is 9134249. The reversal of 9134208 is 8024319.

It can be written as a sum of positive squares in only one way, i.e., 8714304 + 419904 = 2952^2 + 648^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9134207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9928 + ... + 10808.

Almost surely, 29134208 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 9134208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13607055).

9134208 is an abundant number, since it is smaller than the sum of its proper divisors (18079902).

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

9134208 is an equidigital number, since it uses as much as digits as its factorization.

9134208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9134208 is about 3022.2852281014. The cubic root of 9134208 is about 209.0372254229.

The spelling of 9134208 in words is "nine million, one hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 881 1152 1296 1728 1762 2592 2643 3456 3524 5184 5286 7048 7929 10368 10572 14096 15858 21144 23787 28192 31716 42288 47574 56384 63432 71361 84576 95148 112768 126864 142722 169152 190296 253728 285444 338304 380592 507456 570888 761184 1014912 1141776 1522368 2283552 3044736 4567104 9134208