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20872544 = 2571143197
BaseRepresentation
bin100111110011…
…1110101100000
31110021102202012
41033213311200
520320410134
62023212052
7342261620
oct117476540
943242665
1020872544
1110866940
126ba7028
13442a624
142ab4880
151c746ce
hex13e7d60

20872544 has 96 divisors (see below), whose sum is σ = 52690176. Its totient is φ = 7902720.

The previous prime is 20872499. The next prime is 20872571. The reversal of 20872544 is 44527802.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 20872544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105854 + ... + 106050.

It is an arithmetic number, because the mean of its divisors is an integer number (548856).

Almost surely, 220872544 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 20872544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26345088).

20872544 is an abundant number, since it is smaller than the sum of its proper divisors (31817632).

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

20872544 is a wasteful number, since it uses less digits than its factorization.

20872544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 20872544 is about 4568.6479400365. The cubic root of 20872544 is about 275.3331235777. Note that the first 3 decimals are identical.

The spelling of 20872544 in words is "twenty million, eight hundred seventy-two thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 43 44 56 77 86 88 112 154 172 176 197 224 301 308 344 352 394 473 602 616 688 788 946 1204 1232 1376 1379 1576 1892 2167 2408 2464 2758 3152 3311 3784 4334 4816 5516 6304 6622 7568 8471 8668 9632 11032 13244 15136 15169 16942 17336 22064 26488 30338 33884 34672 44128 52976 59297 60676 67768 69344 93181 105952 118594 121352 135536 186362 237188 242704 271072 372724 474376 485408 652267 745448 948752 1304534 1490896 1897504 2609068 2981792 5218136 10436272 20872544