Search a number
-
+
9275940 = 22325291777
BaseRepresentation
bin100011011000…
…101000100100
3122110021012100
4203120220210
54333312230
6530452100
7141562362
oct43305044
918407170
109275940
115266173
123134030
131bca12b
141336632
15c33660
hex8d8a24

9275940 has 72 divisors (see below), whose sum is σ = 29123640. Its totient is φ = 2386944.

The previous prime is 9275939. The next prime is 9275951. The reversal of 9275940 is 495729.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 8259876 = 1008^2 + 2874^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9275895 and 9275904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4332 + ... + 6108.

It is an arithmetic number, because the mean of its divisors is an integer number (404495).

Almost surely, 29275940 is an apocalyptic number.

9275940 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 9275940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561820).

9275940 is an abundant number, since it is smaller than the sum of its proper divisors (19847700).

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

9275940 is a wasteful number, since it uses less digits than its factorization.

9275940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 9275940 is about 3045.6427892975. The cubic root of 9275940 is about 210.1128645002.

The spelling of 9275940 in words is "nine million, two hundred seventy-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 1777 2610 3554 5220 5331 7108 8885 10662 15993 17770 21324 26655 31986 35540 51533 53310 63972 79965 103066 106620 154599 159930 206132 257665 309198 319860 463797 515330 618396 772995 927594 1030660 1545990 1855188 2318985 3091980 4637970 9275940