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20870976 = 263753293
BaseRepresentation
bin100111110011…
…1011101000000
31110021100121010
41033213131000
520320332401
62023200520
7342254220
oct117473500
943240533
1020870976
1110865745
126ba6140
1344299b9
142ab4080
151c73ed6
hex13e7740

20870976 has 112 divisors (see below), whose sum is σ = 64520064. Its totient is φ = 5830656.

The previous prime is 20870939. The next prime is 20871001. The reversal of 20870976 is 67907802.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71086 + ... + 71378.

It is an arithmetic number, because the mean of its divisors is an integer number (576072).

Almost surely, 220870976 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 20870976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32260032).

20870976 is an abundant number, since it is smaller than the sum of its proper divisors (43649088).

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

20870976 is a wasteful number, since it uses less digits than its factorization.

20870976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 20870976 is about 4568.4763324329. The cubic root of 20870976 is about 275.3262288240.

The spelling of 20870976 in words is "twenty million, eight hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 293 318 336 371 424 448 586 636 672 742 848 879 1113 1172 1272 1344 1484 1696 1758 2051 2226 2344 2544 2968 3392 3516 4102 4452 4688 5088 5936 6153 7032 8204 8904 9376 10176 11872 12306 14064 15529 16408 17808 18752 23744 24612 28128 31058 32816 35616 46587 49224 56256 62116 65632 71232 93174 98448 108703 124232 131264 186348 196896 217406 248464 326109 372696 393792 434812 496928 652218 745392 869624 993856 1304436 1490784 1739248 2608872 2981568 3478496 5217744 6956992 10435488 20870976