Search a number
-
+
21004112 = 2417314753
BaseRepresentation
bin101000000011…
…1111101010000
31110112010020002
41100013331100
520334112422
62030105132
7343350323
oct120077520
943463202
1021004112
1110946778
12704b1a8
13447548c
142b0a7ba
151c9d692
hex1407f50

21004112 has 80 divisors (see below), whose sum is σ = 46282752. Its totient is φ = 9185280.

The previous prime is 21004099. The next prime is 21004117. The reversal of 21004112 is 21140012.

It is a junction number, because it is equal to n+sod(n) for n = 21004093 and 21004102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21004117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 396278 + ... + 396330.

Almost surely, 221004112 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 21004112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23141376).

21004112 is an abundant number, since it is smaller than the sum of its proper divisors (25278640).

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

21004112 is a wasteful number, since it uses less digits than its factorization.

21004112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 21004112 is about 4583.0243289775. The cubic root of 21004112 is about 275.9104239172.

Adding to 21004112 its reverse (21140012), we get a palindrome (42144124).

The spelling of 21004112 in words is "twenty-one million, four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 31 34 47 53 62 68 94 106 124 136 188 212 248 272 376 424 496 527 752 799 848 901 1054 1457 1598 1643 1802 2108 2491 2914 3196 3286 3604 4216 4982 5828 6392 6572 7208 8432 9964 11656 12784 13144 14416 19928 23312 24769 26288 27931 39856 42347 49538 55862 77221 84694 99076 111724 154442 169388 198152 223448 308884 338776 396304 446896 617768 677552 1235536 1312757 2625514 5251028 10502056 21004112