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11152240 = 24511192329
BaseRepresentation
bin101010100010…
…101101110000
3202222120222221
4222202231300
510323332430
61035010424
7163535551
oct52425560
922876887
1011152240
116327930
123899a14
132406178
1416a4328
15ea457a
hexaa2b70

11152240 has 160 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 3548160.

The previous prime is 11152231. The next prime is 11152243. The reversal of 11152240 is 4225111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11152243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 384546 + ... + 384574.

It is an arithmetic number, because the mean of its divisors is an integer number (200880).

Almost surely, 211152240 is an apocalyptic number.

11152240 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 11152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

11152240 is an abundant number, since it is smaller than the sum of its proper divisors (20988560).

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

11152240 is a wasteful number, since it uses less digits than its factorization.

11152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 11152240 is about 3339.4969681076. The cubic root of 11152240 is about 223.4193080043.

Adding to 11152240 its reverse (4225111), we get a palindrome (15377351).

It can be divided in two parts, 11 and 152240, that added together give a palindrome (152251).

The spelling of 11152240 in words is "eleven million, one hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 23 29 38 40 44 46 55 58 76 80 88 92 95 110 115 116 145 152 176 184 190 209 220 230 232 253 290 304 319 368 380 418 437 440 460 464 506 551 580 638 667 760 836 874 880 920 1012 1045 1102 1160 1265 1276 1334 1520 1595 1672 1748 1840 2024 2090 2185 2204 2320 2530 2552 2668 2755 3190 3335 3344 3496 4048 4180 4370 4408 4807 5060 5104 5336 5510 6061 6380 6670 6992 7337 8360 8740 8816 9614 10120 10672 11020 12122 12673 12760 13340 14674 16720 17480 19228 20240 22040 24035 24244 25346 25520 26680 29348 30305 34960 36685 38456 44080 48070 48488 50692 53360 58696 60610 63365 73370 76912 96140 96976 101384 117392 121220 126730 139403 146740 192280 202768 242440 253460 278806 293480 384560 484880 506920 557612 586960 697015 1013840 1115224 1394030 2230448 2788060 5576120 11152240