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20730336 = 2531167293
BaseRepresentation
bin100111100010…
…1000111100000
31110000012200020
41033011013200
520301332321
62020153440
7341130204
oct117050740
943005606
1020730336
111077a010
126b38880
1343aa993
142a78b04
151c474c6
hex13c51e0

20730336 has 96 divisors (see below), whose sum is σ = 60455808. Its totient is φ = 6167040.

The previous prime is 20730313. The next prime is 20730373. The reversal of 20730336 is 63303702.

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 (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 70606 + ... + 70898.

It is an arithmetic number, because the mean of its divisors is an integer number (629748).

Almost surely, 220730336 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 20730336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30227904).

20730336 is an abundant number, since it is smaller than the sum of its proper divisors (39725472).

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

20730336 is a wasteful number, since it uses less digits than its factorization.

20730336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 24.

The square root of 20730336 is about 4553.0578735615. The cubic root of 20730336 is about 274.7064018089.

The spelling of 20730336 in words is "twenty million, seven hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 67 88 96 132 134 176 201 264 268 293 352 402 528 536 586 737 804 879 1056 1072 1172 1474 1608 1758 2144 2211 2344 2948 3216 3223 3516 4422 4688 5896 6432 6446 7032 8844 9376 9669 11792 12892 14064 17688 19338 19631 23584 25784 28128 35376 38676 39262 51568 58893 70752 77352 78524 103136 117786 154704 157048 215941 235572 309408 314096 431882 471144 628192 647823 863764 942288 1295646 1727528 1884576 2591292 3455056 5182584 6910112 10365168 20730336