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20995296 = 2537157199
BaseRepresentation
bin101000000010…
…1110011100000
31110111200010120
41100011303200
520333322141
62030000240
7343312530
oct120056340
943450116
1020995296
1110940093
127046080
13447146a
142b074c0
151c9ac66
hex1405ce0

20995296 has 96 divisors (see below), whose sum is σ = 63705600. Its totient is φ = 5930496.

The previous prime is 20995291. The next prime is 20995301. The reversal of 20995296 is 69259902.

It is an interprime number because it is at equal distance from previous prime (20995291) and next prime (20995301).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20995291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105405 + ... + 105603.

It is an arithmetic number, because the mean of its divisors is an integer number (663600).

Almost surely, 220995296 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 20995296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31852800).

20995296 is an abundant number, since it is smaller than the sum of its proper divisors (42710304).

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

20995296 is a wasteful number, since it uses less digits than its factorization.

20995296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 20995296 is about 4582.0624177329. The cubic root of 20995296 is about 275.8718161326.

The spelling of 20995296 in words is "twenty million, nine hundred ninety-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 157 168 199 224 314 336 398 471 597 628 672 796 942 1099 1194 1256 1393 1592 1884 2198 2388 2512 2786 3184 3297 3768 4179 4396 4776 5024 5572 6368 6594 7536 8358 8792 9552 11144 13188 15072 16716 17584 19104 22288 26376 31243 33432 35168 44576 52752 62486 66864 93729 105504 124972 133728 187458 218701 249944 374916 437402 499888 656103 749832 874804 999776 1312206 1499664 1749608 2624412 2999328 3499216 5248824 6998432 10497648 20995296