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21079104 = 2631011087
BaseRepresentation
bin101000001101…
…0010001000000
31110122221002120
41100122101000
520344012404
62031444240
7344112054
oct120322100
943587076
1021079104
1110998052
127086680
1344a0657
142b29c64
151cb59d9
hex141a440

21079104 has 56 divisors (see below), whose sum is σ = 56375808. Its totient is φ = 6950400.

The previous prime is 21079087. The next prime is 21079127. The reversal of 21079104 is 40197012.

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

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, 18849 + ... + 19935.

Almost surely, 221079104 is an apocalyptic number.

21079104 is a gapful number since it is divisible by the number (24) 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 21079104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28187904).

21079104 is an abundant number, since it is smaller than the sum of its proper divisors (35296704).

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

21079104 is a wasteful number, since it uses less digits than its factorization.

21079104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 21079104 is about 4591.1985363301. The cubic root of 21079104 is about 276.2383993545.

It can be divided in two parts, 2107 and 9104, that added together give a palindrome (11211).

The spelling of 21079104 in words is "twenty-one million, seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 606 808 1087 1212 1616 2174 2424 3232 3261 4348 4848 6464 6522 8696 9696 13044 17392 19392 26088 34784 52176 69568 104352 109787 208704 219574 329361 439148 658722 878296 1317444 1756592 2634888 3513184 5269776 7026368 10539552 21079104