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21942096 = 24311291433
BaseRepresentation
bin101001110110…
…0111101010000
31112021202220020
41103230331100
521104121341
62102143440
7354335061
oct123547520
945252806
1021942096
1111427470
127421b80
1347133b7
142cb2568
151dd6566
hex14ecf50

21942096 has 80 divisors (see below), whose sum is σ = 64013760. Its totient is φ = 6415360.

The previous prime is 21942077. The next prime is 21942113. The reversal of 21942096 is 69024912.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 14596 + ... + 16028.

It is an arithmetic number, because the mean of its divisors is an integer number (800172).

Almost surely, 221942096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21942096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32006880).

21942096 is an abundant number, since it is smaller than the sum of its proper divisors (42071664).

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

21942096 is a wasteful number, since it uses less digits than its factorization.

21942096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 21942096 is about 4684.2391057673. The cubic root of 21942096 is about 279.9578848222.

The spelling of 21942096 in words is "twenty-one million, nine hundred forty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 957 1276 1392 1433 1914 2552 2866 3828 4299 5104 5732 7656 8598 11464 15312 15763 17196 22928 31526 34392 41557 47289 63052 68784 83114 94578 124671 126104 166228 189156 249342 252208 332456 378312 457127 498684 664912 756624 914254 997368 1371381 1828508 1994736 2742762 3657016 5485524 7314032 10971048 21942096