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21485124 = 223219101311
BaseRepresentation
bin101000111110…
…1011001000100
31111102120001100
41101331121010
521000010444
62044300100
7350422563
oct121753104
944376040
1021485124
1111145101
127241630
1345b33bb
142bd3bda
151d45e69
hex147d644

21485124 has 72 divisors (see below), whose sum is σ = 57919680. Its totient is φ = 6696000.

The previous prime is 21485119. The next prime is 21485129. The reversal of 21485124 is 42158412.

21485124 is a `hidden beast` number, since 2 + 148 + 512 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (21485119) and next prime (21485129).

It is a super-2 number, since 2×214851242 = 923221106590752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (21485129) 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, 68929 + ... + 69239.

It is an arithmetic number, because the mean of its divisors is an integer number (804440).

Almost surely, 221485124 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 21485124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28959840).

21485124 is an abundant number, since it is smaller than the sum of its proper divisors (36434556).

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

21485124 is a wasteful number, since it uses less digits than its factorization.

21485124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 436 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 21485124 is about 4635.2048498421. The cubic root of 21485124 is about 278.0007418506. Note that the first 3 decimals are identical.

It can be divided in two parts, 21485 and 124, that added together give a square (21609 = 1472).

The spelling of 21485124 in words is "twenty-one million, four hundred eighty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 101 114 171 202 228 303 311 342 404 606 622 684 909 933 1212 1244 1818 1866 1919 2799 3636 3732 3838 5598 5757 5909 7676 11196 11514 11818 17271 17727 23028 23636 31411 34542 35454 53181 62822 69084 70908 94233 106362 125644 188466 212724 282699 376932 565398 596809 1130796 1193618 1790427 2387236 3580854 5371281 7161708 10742562 21485124