Search a number
-
+
20447328 = 2531117267
BaseRepresentation
bin100111000000…
…0000001100000
31102110211110110
41032000001200
520213303303
62010131320
7335541126
oct116000140
942424413
1020447328
11105a6420
126a20b40
13430bc15
142a03916
151bdd703
hex1380060

20447328 has 144 divisors (see below), whose sum is σ = 63129024. Its totient is φ = 5744640.

The previous prime is 20447293. The next prime is 20447341. The reversal of 20447328 is 82374402.

It is a junction number, because it is equal to n+sod(n) for n = 20447295 and 20447304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305151 + ... + 305217.

It is an arithmetic number, because the mean of its divisors is an integer number (438396).

Almost surely, 220447328 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 20447328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31564512).

20447328 is an abundant number, since it is smaller than the sum of its proper divisors (42681696).

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

20447328 is a wasteful number, since it uses less digits than its factorization.

20447328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 20447328 is about 4521.8721786446. The cubic root of 20447328 is about 273.4505835786.

The spelling of 20447328 in words is "twenty million, four hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 67 68 88 96 102 132 134 136 176 187 201 204 264 268 272 289 352 374 402 408 528 536 544 561 578 737 748 804 816 867 1056 1072 1122 1139 1156 1474 1496 1608 1632 1734 2144 2211 2244 2278 2312 2948 2992 3179 3216 3417 3468 4422 4488 4556 4624 5896 5984 6358 6432 6834 6936 8844 8976 9112 9248 9537 11792 12529 12716 13668 13872 17688 17952 18224 19074 19363 23584 25058 25432 27336 27744 35376 36448 37587 38148 38726 50116 50864 54672 58089 70752 75174 76296 77452 100232 101728 109344 116178 150348 152592 154904 200464 212993 232356 300696 305184 309808 400928 425986 464712 601392 619616 638979 851972 929424 1202784 1277958 1703944 1858848 2555916 3407888 5111832 6815776 10223664 20447328