Search a number
-
+
9390240 = 253256521
BaseRepresentation
bin100011110100…
…100010100000
3122200001222200
4203310202200
54400441430
6533133200
7142546536
oct43644240
918601880
109390240
115334032
12318a200
131c3a172
141366156
15c57460
hex8f48a0

9390240 has 72 divisors (see below), whose sum is σ = 32049108. Its totient is φ = 2503680.

The previous prime is 9390221. The next prime is 9390257. The reversal of 9390240 is 420939.

It can be written as a sum of positive squares in 2 ways, for example, as 9072144 + 318096 = 3012^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1821 + ... + 4700.

Almost surely, 29390240 is an apocalyptic number.

9390240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9390240 is an abundant number, since it is smaller than the sum of its proper divisors (22658868).

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

9390240 is a wasteful number, since it uses less digits than its factorization.

9390240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6542 (or 6531 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 9390240 is about 3064.3498494787. The cubic root of 9390240 is about 210.9723614810.

The spelling of 9390240 in words is "nine million, three hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 6521 13042 19563 26084 32605 39126 52168 58689 65210 78252 97815 104336 117378 130420 156504 195630 208672 234756 260840 293445 313008 391260 469512 521680 586890 626016 782520 939024 1043360 1173780 1565040 1878048 2347560 3130080 4695120 9390240