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11133240 = 2335192257
BaseRepresentation
bin101010011110…
…000100111000
3202221121221020
4222132010320
510322230430
61034342440
7163426266
oct52360470
922847836
1011133240
116314628
12388aa20
1323ca621
14169b436
15e9db10
hexa9e138

11133240 has 96 divisors (see below), whose sum is σ = 35387280. Its totient is φ = 2801664.

The previous prime is 11133229. The next prime is 11133257. The reversal of 11133240 is 4233111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43192 + ... + 43448.

Almost surely, 211133240 is an apocalyptic number.

11133240 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 11133240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17693640).

11133240 is an abundant number, since it is smaller than the sum of its proper divisors (24254040).

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

11133240 is a wasteful number, since it uses less digits than its factorization.

11133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 11133240 is about 3336.6510156143. The cubic root of 11133240 is about 223.2923565325.

Adding to 11133240 its reverse (4233111), we get a palindrome (15366351).

The spelling of 11133240 in words is "eleven million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 257 285 361 380 456 514 570 722 760 771 1028 1083 1140 1285 1444 1542 1805 2056 2166 2280 2570 2888 3084 3610 3855 4332 4883 5140 5415 6168 7220 7710 8664 9766 10280 10830 14440 14649 15420 19532 21660 24415 29298 30840 39064 43320 48830 58596 73245 92777 97660 117192 146490 185554 195320 278331 292980 371108 463885 556662 585960 742216 927770 1113324 1391655 1855540 2226648 2783310 3711080 5566620 11133240