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21069792 = 2532149491
BaseRepresentation
bin101000001011…
…1111111100000
31110122110022200
41100113333200
520343213132
62031333200
7344042652
oct120277740
943573280
1021069792
1110991057
127081200
134499343
142b266d2
151cb2d7c
hex1417fe0

21069792 has 72 divisors (see below), whose sum is σ = 60442200. Its totient is φ = 6961920.

The previous prime is 21069791. The next prime is 21069833. The reversal of 21069792 is 29796012.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×210697922 = 887872269846528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21069791) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 42667 + ... + 43157.

It is an arithmetic number, because the mean of its divisors is an integer number (839475).

Almost surely, 221069792 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 21069792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30221100).

21069792 is an abundant number, since it is smaller than the sum of its proper divisors (39372408).

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

21069792 is a wasteful number, since it uses less digits than its factorization.

21069792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 21069792 is about 4590.1843100250. The cubic root of 21069792 is about 276.1977159229.

The spelling of 21069792 in words is "twenty-one million, sixty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 149 288 298 447 491 596 894 982 1192 1341 1473 1788 1964 2384 2682 2946 3576 3928 4419 4768 5364 5892 7152 7856 8838 10728 11784 14304 15712 17676 21456 23568 35352 42912 47136 70704 73159 141408 146318 219477 292636 438954 585272 658431 877908 1170544 1316862 1755816 2341088 2633724 3511632 5267448 7023264 10534896 21069792