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21131440 = 2451123759
BaseRepresentation
bin101000010011…
…1000010110000
31110202120212221
41100213002300
520402201230
62032530424
7344420461
oct120470260
943676787
1021131440
1110a23400
1270b0a14
1344bb415
142b40d68
151cc627a
hex14270b0

21131440 has 120 divisors (see below), whose sum is σ = 56402640. Its totient is φ = 7349760.

The previous prime is 21131423. The next prime is 21131449. The reversal of 21131440 is 4413112.

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

It is not an unprimeable number, because it can be changed into a prime (21131449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358131 + ... + 358189.

It is an arithmetic number, because the mean of its divisors is an integer number (470022).

Almost surely, 221131440 is an apocalyptic number.

21131440 is a gapful number since it is divisible by the number (20) 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 21131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28201320).

21131440 is an abundant number, since it is smaller than the sum of its proper divisors (35271200).

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

21131440 is a wasteful number, since it uses less digits than its factorization.

21131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 21131440 is about 4596.8946039691. The cubic root of 21131440 is about 276.4668288041.

Adding to 21131440 its reverse (4413112), we get a palindrome (25544552).

It can be divided in two parts, 2113 and 1440, that added together give a palindrome (3553).

The spelling of 21131440 in words is "twenty-one million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 59 74 80 88 110 118 121 148 176 185 220 236 242 295 296 370 407 440 472 484 590 592 605 649 740 814 880 944 968 1180 1210 1298 1480 1628 1936 2035 2183 2360 2420 2596 2960 3245 3256 4070 4366 4477 4720 4840 5192 6490 6512 7139 8140 8732 8954 9680 10384 10915 12980 14278 16280 17464 17908 21830 22385 24013 25960 28556 32560 34928 35695 35816 43660 44770 48026 51920 57112 71390 71632 87320 89540 96052 114224 120065 142780 174640 179080 192104 240130 264143 285560 358160 384208 480260 528286 571120 960520 1056572 1320715 1921040 2113144 2641430 4226288 5282860 10565720 21131440