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20728704 = 273232347
BaseRepresentation
bin100111100010…
…0101110000000
31110000010102210
41033010232000
520301304304
62020142120
7341122353
oct117045600
943003383
1020728704
1110778867
126b37940
1343aa009
142a7829a
151c46c89
hex13c4b80

20728704 has 64 divisors (see below), whose sum is σ = 57479040. Its totient is φ = 6606336.

The previous prime is 20728699. The next prime is 20728717. The reversal of 20728704 is 40782702.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7659 + ... + 10005.

It is an arithmetic number, because the mean of its divisors is an integer number (898110).

Almost surely, 220728704 is an apocalyptic number.

20728704 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 20728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28739520).

20728704 is an abundant number, since it is smaller than the sum of its proper divisors (36750336).

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

20728704 is a wasteful number, since it uses less digits than its factorization.

20728704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 20728704 is about 4552.8786498215. The cubic root of 20728704 is about 274.6991928469.

The spelling of 20728704 in words is "twenty million, seven hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2347 2944 4416 4694 7041 8832 9388 14082 18776 28164 37552 53981 56328 75104 107962 112656 150208 161943 215924 225312 300416 323886 431848 450624 647772 863696 901248 1295544 1727392 2591088 3454784 5182176 6909568 10364352 20728704