Search a number
-
+
21100080 = 243587917
BaseRepresentation
bin101000001111…
…1011000110000
31110200222212110
41100133120300
520400200310
62032125320
7344230161
oct120373060
943628773
1021100080
1110a01891
127096840
1344aa071
142b33768
151cbbd20
hex141f630

21100080 has 40 divisors (see below), whose sum is σ = 65410992. Its totient is φ = 5626624.

The previous prime is 21100069. The next prime is 21100087. The reversal of 21100080 is 8000112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21100087) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 43719 + ... + 44198.

Almost surely, 221100080 is an apocalyptic number.

21100080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100080 is an abundant number, since it is smaller than the sum of its proper divisors (44310912).

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

21100080 is a wasteful number, since it uses less digits than its factorization.

21100080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87933 (or 87927 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 21100080 is about 4593.4823391410. The cubic root of 21100080 is about 276.3299980568.

Adding to 21100080 its reverse (8000112), we get a palindrome (29100192).

The spelling of 21100080 in words is "twenty-one million, one hundred thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 87917 175834 263751 351668 439585 527502 703336 879170 1055004 1318755 1406672 1758340 2110008 2637510 3516680 4220016 5275020 7033360 10550040 21100080