Search a number
-
+
11245040 = 2452937131
BaseRepresentation
bin101010111001…
…010111110000
3210011022021222
4222321113300
510334320130
61041004212
7164403242
oct52712760
923138258
1011245040
116390624
123923668
132439491
1416ca092
15ec1ce5
hexab95f0

11245040 has 80 divisors (see below), whose sum is σ = 27989280. Its totient is φ = 4193280.

The previous prime is 11245021. The next prime is 11245043. The reversal of 11245040 is 4054211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11245043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85775 + ... + 85905.

It is an arithmetic number, because the mean of its divisors is an integer number (349866).

Almost surely, 211245040 is an apocalyptic number.

11245040 is a gapful number since it is divisible by the number (10) 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 11245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13994640).

11245040 is an abundant number, since it is smaller than the sum of its proper divisors (16744240).

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

11245040 is a wasteful number, since it uses less digits than its factorization.

11245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 11245040 is about 3353.3624915896. The cubic root of 11245040 is about 224.0373024612.

Adding to 11245040 its reverse (4054211), we get a palindrome (15299251).

The spelling of 11245040 in words is "eleven million, two hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 37 40 58 74 80 116 131 145 148 185 232 262 290 296 370 464 524 580 592 655 740 1048 1073 1160 1310 1480 2096 2146 2320 2620 2960 3799 4292 4847 5240 5365 7598 8584 9694 10480 10730 15196 17168 18995 19388 21460 24235 30392 37990 38776 42920 48470 60784 75980 77552 85840 96940 140563 151960 193880 281126 303920 387760 562252 702815 1124504 1405630 2249008 2811260 5622520 11245040