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21076440 = 23357112281
BaseRepresentation
bin101000001100…
…1100111011000
31110122210102220
41100121213120
520343421230
62031424040
7344101230
oct120314730
943583386
1021076440
1110996050
127085020
13449c388
142b28cc0
151cb4d10
hex14199d8

21076440 has 128 divisors (see below), whose sum is σ = 78865920. Its totient is φ = 4377600.

The previous prime is 21076427. The next prime is 21076463. The reversal of 21076440 is 4467012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21076440.

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 31 ways as a sum of consecutive naturals, for example, 8100 + ... + 10380.

It is an arithmetic number, because the mean of its divisors is an integer number (616140).

Almost surely, 221076440 is an apocalyptic number.

21076440 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 21076440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39432960).

21076440 is an abundant number, since it is smaller than the sum of its proper divisors (57789480).

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

21076440 is a wasteful number, since it uses less digits than its factorization.

21076440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 21076440 is about 4590.9084068406. The cubic root of 21076440 is about 276.2267617615.

The spelling of 21076440 in words is "twenty-one million, seventy-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2281 2310 3080 4562 4620 6843 9124 9240 11405 13686 15967 18248 22810 25091 27372 31934 34215 45620 47901 50182 54744 63868 68430 75273 79835 91240 95802 100364 125455 127736 136860 150546 159670 175637 191604 200728 239505 250910 273720 301092 319340 351274 376365 383208 479010 501820 526911 602184 638680 702548 752730 878185 958020 1003640 1053822 1405096 1505460 1756370 1916040 2107644 2634555 3010920 3512740 4215288 5269110 7025480 10538220 21076440