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20826480 = 2435107811
BaseRepresentation
bin100111101110…
…0100101110000
31110012002120010
41033130211300
520312421410
62022214520
7342010413
oct117344560
943162503
1020826480
1110835274
126b84440
13441267c
142aa1b7a
151c65c20
hex13dc970

20826480 has 80 divisors (see below), whose sum is σ = 65245824. Its totient is φ = 5495040.

The previous prime is 20826473. The next prime is 20826493. The reversal of 20826480 is 8462802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25275 + ... + 26085.

Almost surely, 220826480 is an apocalyptic number.

20826480 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 20826480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32622912).

20826480 is an abundant number, since it is smaller than the sum of its proper divisors (44419344).

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

20826480 is a wasteful number, since it uses less digits than its factorization.

20826480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 20826480 is about 4563.6038390728. The cubic root of 20826480 is about 275.1304284880.

The spelling of 20826480 in words is "twenty million, eight hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 428 535 642 811 856 1070 1284 1605 1622 1712 2140 2433 2568 3210 3244 4055 4280 4866 5136 6420 6488 8110 8560 9732 12165 12840 12976 16220 19464 24330 25680 32440 38928 48660 64880 86777 97320 173554 194640 260331 347108 433885 520662 694216 867770 1041324 1301655 1388432 1735540 2082648 2603310 3471080 4165296 5206620 6942160 10413240 20826480