Search a number
-
+
21407946 = 23719139193
BaseRepresentation
bin101000110101…
…0100011001010
31111021122011220
41101222203022
520440023241
62042502510
7346651560
oct121524312
944248156
1021407946
11110a211a
127204a36
134587231
142bb3a30
151d2d166
hex146a8ca

21407946 has 64 divisors (see below), whose sum is σ = 52147200. Its totient is φ = 5723136.

The previous prime is 21407933. The next prime is 21407957. The reversal of 21407946 is 64970412.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 110826 + ... + 111018.

It is an arithmetic number, because the mean of its divisors is an integer number (814800).

Almost surely, 221407946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21407946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26073600).

21407946 is an abundant number, since it is smaller than the sum of its proper divisors (30739254).

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

21407946 is a wasteful number, since it uses less digits than its factorization.

21407946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 21407946 is about 4626.8721616228. The cubic root of 21407946 is about 277.6674681054.

The spelling of 21407946 in words is "twenty-one million, four hundred seven thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 139 193 266 278 386 399 417 579 798 834 973 1158 1351 1946 2641 2702 2919 3667 4053 5282 5838 7334 7923 8106 11001 15846 18487 22002 25669 26827 36974 51338 53654 55461 77007 80481 110922 154014 160962 187789 375578 509713 563367 1019426 1126734 1529139 3058278 3567991 7135982 10703973 21407946