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20747664 = 243472287
BaseRepresentation
bin100111100100…
…1010110010000
31110001002110000
41033021112100
520302411124
62020410000
7341231550
oct117112620
943032400
1020747664
1110791033
126b46900
1343b5832
142a81160
151c4c6c9
hex13c9590

20747664 has 100 divisors (see below), whose sum is σ = 68658304. Its totient is φ = 5925312.

The previous prime is 20747663. The next prime is 20747719. The reversal of 20747664 is 46674702.

It is a super-2 number, since 2×207476642 = 860931122913792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20747663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7929 + ... + 10215.

Almost surely, 220747664 is an apocalyptic number.

20747664 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 20747664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34329152).

20747664 is an abundant number, since it is smaller than the sum of its proper divisors (47910640).

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

20747664 is a wasteful number, since it uses less digits than its factorization.

20747664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 20747664 is about 4554.9603730439. The cubic root of 20747664 is about 274.7829206982.

The spelling of 20747664 in words is "twenty million, seven hundred forty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 2287 3024 4536 4574 6861 9072 9148 13722 16009 18296 20583 27444 32018 36592 41166 48027 54888 61749 64036 82332 96054 109776 123498 128072 144081 164664 185247 192108 246996 256144 288162 329328 370494 384216 432243 493992 576324 740988 768432 864486 987984 1152648 1296729 1481976 1728972 2305296 2593458 2963952 3457944 5186916 6915888 10373832 20747664