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21454992 = 24321373157
BaseRepresentation
bin101000111011…
…0000010010000
31111101000201100
41101312002100
520443024432
62043504400
7350235666
oct121660220
944330640
1021454992
11111244a9
127228100
1345a2780
142bc6c36
151d3c07c
hex1476090

21454992 has 120 divisors (see below), whose sum is σ = 65966264. Its totient is φ = 6469632.

The previous prime is 21454973. The next prime is 21454997. The reversal of 21454992 is 29945412.

21454992 is a `hidden beast` number, since 21 + 4 + 549 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 21123216 = 576^2 + 4596^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21454997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136578 + ... + 136734.

Almost surely, 221454992 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 21454992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32983132).

21454992 is an abundant number, since it is smaller than the sum of its proper divisors (44511272).

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

21454992 is a wasteful number, since it uses less digits than its factorization.

21454992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 248 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 21454992 is about 4631.9533676409. The cubic root of 21454992 is about 277.8707195243.

The spelling of 21454992 in words is "twenty-one million, four hundred fifty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 73 78 104 117 144 146 156 157 208 219 234 292 312 314 438 468 471 584 624 628 657 876 936 942 949 1168 1256 1314 1413 1752 1872 1884 1898 2041 2512 2628 2826 2847 3504 3768 3796 4082 5256 5652 5694 6123 7536 7592 8164 8541 10512 11304 11388 11461 12246 15184 16328 17082 18369 22608 22776 22922 24492 32656 34164 34383 36738 45552 45844 48984 68328 68766 73476 91688 97968 103149 136656 137532 146952 148993 183376 206298 275064 293904 297986 412596 446979 550128 595972 825192 893958 1191944 1340937 1650384 1787916 2383888 2681874 3575832 5363748 7151664 10727496 21454992