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11244420 = 2234511631
BaseRepresentation
bin101010111001…
…001110000100
3210011021110000
4222321032010
510334310140
61041001300
7164401365
oct52711604
923137400
1011244420
116390110
123923230
132439105
1416c9b6c
15ec1a30
hexab9384

11244420 has 120 divisors (see below), whose sum is σ = 38541888. Its totient is φ = 2721600.

The previous prime is 11244419. The next prime is 11244437. The reversal of 11244420 is 2444211.

11244420 is a `hidden beast` number, since 1 + 1 + 244 + 420 = 666.

It is a super-2 number, since 2×112444202 = 252873962272800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11244393 and 11244402.

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 39 ways as a sum of consecutive naturals, for example, 17505 + ... + 18135.

Almost surely, 211244420 is an apocalyptic number.

11244420 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 11244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19270944).

11244420 is an abundant number, since it is smaller than the sum of its proper divisors (27297468).

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

11244420 is a wasteful number, since it uses less digits than its factorization.

11244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 11244420 is about 3353.2700457911. The cubic root of 11244420 is about 224.0331849219.

Adding to 11244420 its reverse (2444211), we get a palindrome (13688631).

It can be divided in two parts, 11244 and 420, that added together give a square (11664 = 1082).

The spelling of 11244420 in words is "eleven million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 631 660 810 891 990 1188 1262 1485 1620 1782 1893 1980 2524 2970 3155 3564 3786 4455 5679 5940 6310 6941 7572 8910 9465 11358 12620 13882 17037 17820 18930 20823 22716 27764 28395 34074 34705 37860 41646 51111 56790 62469 68148 69410 83292 85185 102222 104115 113580 124938 138820 170370 187407 204444 208230 249876 255555 312345 340740 374814 416460 511110 562221 624690 749628 937035 1022220 1124442 1249380 1874070 2248884 2811105 3748140 5622210 11244420