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20995128 = 23327211541
BaseRepresentation
bin101000000010…
…1110000111000
31110111122220100
41100011300320
520333321003
62025555400
7343312200
oct120056070
943448810
1020995128
111093aa50
127045b60
13447136b
142b07400
151c9aba3
hex1405c38

20995128 has 144 divisors (see below), whose sum is σ = 72291960. Its totient is φ = 5443200.

The previous prime is 20995127. The next prime is 20995129. The reversal of 20995128 is 82159902.

It is an interprime number because it is at equal distance from previous prime (20995127) and next prime (20995129).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20995092 and 20995101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20995123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38538 + ... + 39078.

Almost surely, 220995128 is an apocalyptic number.

20995128 is a gapful number since it is divisible by the number (28) 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 20995128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36145980).

20995128 is an abundant number, since it is smaller than the sum of its proper divisors (51296832).

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

20995128 is a wasteful number, since it uses less digits than its factorization.

20995128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 20995128 is about 4582.0440853401. The cubic root of 20995128 is about 275.8710803076.

It can be divided in two parts, 2099 and 5128, that added together give a palindrome (7227).

The spelling of 20995128 in words is "twenty million, nine hundred ninety-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 49 56 63 66 72 77 84 88 98 99 126 132 147 154 168 196 198 231 252 264 294 308 392 396 441 462 504 539 541 588 616 693 792 882 924 1078 1082 1176 1386 1617 1623 1764 1848 2156 2164 2772 3234 3246 3528 3787 4312 4328 4851 4869 5544 5951 6468 6492 7574 9702 9738 11361 11902 12936 12984 15148 17853 19404 19476 22722 23804 26509 30296 34083 35706 38808 38952 41657 45444 47608 53018 53559 68166 71412 79527 83314 90888 106036 107118 124971 136332 142824 159054 166628 212072 214236 238581 249942 272664 291599 318108 333256 374913 428472 477162 499884 583198 636216 749826 874797 954324 999768 1166396 1499652 1749594 1908648 2332792 2624391 2999304 3499188 5248782 6998376 10497564 20995128