Search a number
-
+
9274080 = 25351392
BaseRepresentation
bin100011011000…
…001011100000
3122110011122110
4203120023200
54333232310
6530435320
7141554064
oct43301340
918404573
109274080
115264832
123132b40
131bc932a
141335aa4
15c32d20
hex8d82e0

9274080 has 72 divisors (see below), whose sum is σ = 29425032. Its totient is φ = 2455296.

The previous prime is 9274079. The next prime is 9274081. The reversal of 9274080 is 804729.

It is an interprime number because it is at equal distance from previous prime (9274079) and next prime (9274081).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9274081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66651 + ... + 66789.

It is an arithmetic number, because the mean of its divisors is an integer number (408681).

Almost surely, 29274080 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 9274080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14712516).

9274080 is an abundant number, since it is smaller than the sum of its proper divisors (20150952).

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

9274080 is a wasteful number, since it uses less digits than its factorization.

9274080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 9274080 is about 3045.3374197287. The cubic root of 9274080 is about 210.0988197043.

Multiplying 9274080 by its sum of digits (30), we get a square (278222400 = 166802).

9274080 divided by its sum of digits (30) gives a square (309136 = 5562).

The spelling of 9274080 in words is "nine million, two hundred seventy-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 139 160 240 278 417 480 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 4448 5560 6672 8340 11120 13344 16680 19321 22240 33360 38642 57963 66720 77284 96605 115926 154568 193210 231852 289815 309136 386420 463704 579630 618272 772840 927408 1159260 1545680 1854816 2318520 3091360 4637040 9274080