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20926728 = 23331741139
BaseRepresentation
bin100111111010…
…1000100001000
31110101012002000
41033311010020
520324123403
62024311000
7342605604
oct117650410
943335060
1020926728
11108a3619
127012460
1344491a4
142aca504
151c857a3
hex13f5108

20926728 has 128 divisors (see below), whose sum is σ = 63504000. Its totient is φ = 6359040.

The previous prime is 20926723. The next prime is 20926729. The reversal of 20926728 is 82762902.

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 = 20926692 and 20926701.

It is not an unprimeable number, because it can be changed into a prime (20926723) 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 31 ways as a sum of consecutive naturals, for example, 150483 + ... + 150621.

It is an arithmetic number, because the mean of its divisors is an integer number (496125).

Almost surely, 220926728 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 20926728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752000).

20926728 is an abundant number, since it is smaller than the sum of its proper divisors (42577272).

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

20926728 is a wasteful number, since it uses less digits than its factorization.

20926728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20926728 is about 4574.5740785345. The cubic root of 20926728 is about 275.5711676995.

The spelling of 20926728 in words is "twenty million, nine hundred twenty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 41 51 54 68 72 82 102 108 123 136 139 153 164 204 216 246 278 306 328 369 408 417 459 492 556 612 697 738 834 918 984 1107 1112 1224 1251 1394 1476 1668 1836 2091 2214 2363 2502 2788 2952 3336 3672 3753 4182 4428 4726 5004 5576 5699 6273 7089 7506 8364 8856 9452 10008 11398 12546 14178 15012 16728 17097 18819 18904 21267 22796 25092 28356 30024 34194 37638 42534 45592 50184 51291 56712 63801 68388 75276 85068 96883 102582 127602 136776 150552 153873 170136 193766 205164 255204 290649 307746 387532 410328 510408 581298 615492 775064 871947 1162596 1230984 1743894 2325192 2615841 3487788 5231682 6975576 10463364 20926728