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21122080 = 255718859
BaseRepresentation
bin101000010010…
…0110000100000
31110202010001021
41100210300200
520401401310
62032415224
7344351260
oct120446040
943663037
1021122080
1110a17371
1270a7514
1344b7095
142b3b7a0
151cc35da
hex1424c20

21122080 has 48 divisors (see below), whose sum is σ = 57032640. Its totient is φ = 7241472.

The previous prime is 21122069. The next prime is 21122099. The reversal of 21122080 is 8022112.

It is a super-2 number, since 2×211220802 = 892284527052800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8310 + ... + 10549.

It is an arithmetic number, because the mean of its divisors is an integer number (1188180).

Almost surely, 221122080 is an apocalyptic number.

21122080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122080 is an abundant number, since it is smaller than the sum of its proper divisors (35910560).

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

21122080 is a wasteful number, since it uses less digits than its factorization.

21122080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18881 (or 18873 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 21122080 is about 4595.8764126116. The cubic root of 21122080 is about 276.4260031957.

Adding to 21122080 its reverse (8022112), we get a palindrome (29144192).

The spelling of 21122080 in words is "twenty-one million, one hundred twenty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 18859 37718 75436 94295 132013 150872 188590 264026 301744 377180 528052 603488 660065 754360 1056104 1320130 1508720 2112208 2640260 3017440 4224416 5280520 10561040 21122080