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11031240 = 23351161137
BaseRepresentation
bin101010000101…
…001011001000
3202202110000110
4222011023020
510310444430
61032234320
7162523023
oct52051310
922673013
1011031240
116254a30
12383b9a0
13239307c
1416721ba
15e7d7b0
hexa852c8

11031240 has 128 divisors (see below), whose sum is σ = 36961920. Its totient is φ = 2611200.

The previous prime is 11031239. The next prime is 11031247. The reversal of 11031240 is 4213011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11031247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80452 + ... + 80588.

It is an arithmetic number, because the mean of its divisors is an integer number (288765).

Almost surely, 211031240 is an apocalyptic number.

11031240 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 11031240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18480960).

11031240 is an abundant number, since it is smaller than the sum of its proper divisors (25930680).

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

11031240 is a wasteful number, since it uses less digits than its factorization.

11031240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11031240 is about 3321.3310584764. The cubic root of 11031240 is about 222.6083468446.

Adding to 11031240 its reverse (4213011), we get a palindrome (15244251).

The spelling of 11031240 in words is "eleven million, thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 61 66 88 110 120 122 132 137 165 183 220 244 264 274 305 330 366 411 440 488 548 610 660 671 685 732 822 915 1096 1220 1320 1342 1370 1464 1507 1644 1830 2013 2055 2440 2684 2740 3014 3288 3355 3660 4026 4110 4521 5368 5480 6028 6710 7320 7535 8052 8220 8357 9042 10065 12056 13420 15070 16104 16440 16714 18084 20130 22605 25071 26840 30140 33428 36168 40260 41785 45210 50142 60280 66856 80520 83570 90420 91927 100284 125355 167140 180840 183854 200568 250710 275781 334280 367708 459635 501420 551562 735416 919270 1002840 1103124 1378905 1838540 2206248 2757810 3677080 5515620 11031240