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11274390 = 234531449
BaseRepresentation
bin101011000000…
…100010010110
3210012210120000
4223000202112
510341240030
61041352130
7164554641
oct53004226
923183500
1011274390
116400686
123938646
13244994a
1416d6a58
15eca860
hexac0896

11274390 has 80 divisors (see below), whose sum is σ = 31363200. Its totient is φ = 2903040.

The previous prime is 11274379. The next prime is 11274397. The reversal of 11274390 is 9347211.

11274390 is a `hidden beast` number, since 1 + 1 + 274 + 390 = 666.

It is a super-2 number, since 2×112743902 = 254223739744200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11274397) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24886 + ... + 25334.

It is an arithmetic number, because the mean of its divisors is an integer number (392040).

Almost surely, 211274390 is an apocalyptic number.

11274390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11274390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15681600).

11274390 is an abundant number, since it is smaller than the sum of its proper divisors (20088810).

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

11274390 is a wasteful number, since it uses less digits than its factorization.

11274390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 11274390 is about 3357.7358442856. The cubic root of 11274390 is about 224.2320485401.

It can be divided in two parts, 11274 and 390, that added together give a square (11664 = 1082).

The spelling of 11274390 in words is "eleven million, two hundred seventy-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 270 279 310 405 449 465 558 810 837 898 930 1347 1395 1674 2245 2511 2694 2790 4041 4185 4490 5022 6735 8082 8370 12123 12555 13470 13919 20205 24246 25110 27838 36369 40410 41757 60615 69595 72738 83514 121230 125271 139190 181845 208785 250542 363690 375813 417570 626355 751626 1127439 1252710 1879065 2254878 3758130 5637195 11274390