Search a number
-
+
9134640 = 243354229
BaseRepresentation
bin100010110110…
…001000110000
3122012002101000
4202312020300
54314302030
6523442000
7140433414
oct42661060
918162330
109134640
115179a99
123086300
131b7aa18
1412dad44
15c06860
hex8b6230

9134640 has 80 divisors (see below), whose sum is σ = 31471200. Its totient is φ = 2435328.

The previous prime is 9134639. The next prime is 9134669. The reversal of 9134640 is 464319.

9134640 is a `hidden beast` number, since 9 + 13 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46 + ... + 4274.

It is an arithmetic number, because the mean of its divisors is an integer number (393390).

Almost surely, 29134640 is an apocalyptic number.

9134640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15735600).

9134640 is an abundant number, since it is smaller than the sum of its proper divisors (22336560).

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

9134640 is a wasteful number, since it uses less digits than its factorization.

9134640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 9134640 is about 3022.3566963547. The cubic root of 9134640 is about 209.0405208248.

Adding to 9134640 its reverse (464319), we get a palindrome (9598959).

The spelling of 9134640 in words is "nine million, one hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 4229 8458 12687 16916 21145 25374 33832 38061 42290 50748 63435 67664 76122 84580 101496 114183 126870 152244 169160 190305 202992 228366 253740 304488 338320 380610 456732 507480 570915 608976 761220 913464 1014960 1141830 1522440 1826928 2283660 3044880 4567320 9134640