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20996304 = 2437279113
BaseRepresentation
bin101000000011…
…0000011010000
31110111201111220
41100012003100
520333340204
62030005040
7343315500
oct120060320
943451456
1020996304
111094091a
127046780
134471a64
142b07a00
151c9b1d9
hex14060d0

20996304 has 120 divisors (see below), whose sum is σ = 64460160. Its totient is φ = 5870592.

The previous prime is 20996303. The next prime is 20996359. The reversal of 20996304 is 40369902.

It is a super-3 number, since 3×209963043 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20996303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185752 + ... + 185864.

It is an arithmetic number, because the mean of its divisors is an integer number (537168).

Almost surely, 220996304 is an apocalyptic number.

20996304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20996304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32230080).

20996304 is an abundant number, since it is smaller than the sum of its proper divisors (43463856).

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

20996304 is a wasteful number, since it uses less digits than its factorization.

20996304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 20996304 is about 4582.1724105494. The cubic root of 20996304 is about 275.8762310000.

The spelling of 20996304 in words is "twenty million, nine hundred ninety-six thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 79 84 98 112 113 147 158 168 196 226 237 294 316 336 339 392 452 474 553 588 632 678 784 791 904 948 1106 1176 1264 1356 1582 1659 1808 1896 2212 2352 2373 2712 3164 3318 3792 3871 4424 4746 5424 5537 6328 6636 7742 8848 8927 9492 11074 11613 12656 13272 15484 16611 17854 18984 22148 23226 26544 26781 30968 33222 35708 37968 44296 46452 53562 61936 62489 66444 71416 88592 92904 107124 124978 132888 142832 185808 187467 214248 249956 265776 374934 428496 437423 499912 749868 874846 999824 1312269 1499736 1749692 2624538 2999472 3499384 5249076 6998768 10498152 20996304