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20064528 = 24321153239
BaseRepresentation
bin100110010001…
…0100100010000
31101202101100200
41030202210100
520114031103
61554015200
7332355111
oct114424420
941671320
1020064528
1110364860
126877500
134206903
142944208
151b650a3
hex1322910

20064528 has 120 divisors (see below), whose sum is σ = 62674560. Its totient is φ = 5940480.

The previous prime is 20064523. The next prime is 20064563. The reversal of 20064528 is 82546002.

20064528 is a `hidden beast` number, since 200 + 6 + 452 + 8 = 666.

It is a super-3 number, since 3×200645283 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20064521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83833 + ... + 84071.

It is an arithmetic number, because the mean of its divisors is an integer number (522288).

Almost surely, 220064528 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 20064528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31337280).

20064528 is an abundant number, since it is smaller than the sum of its proper divisors (42610032).

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

20064528 is a wasteful number, since it uses less digits than its factorization.

20064528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 20064528 is about 4479.3445949156. The cubic root of 20064528 is about 271.7333748303.

The spelling of 20064528 in words is "twenty million, sixty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 53 66 72 88 99 106 132 144 159 176 198 212 239 264 318 396 424 477 478 528 583 636 717 792 848 954 956 1166 1272 1434 1584 1749 1908 1912 2151 2332 2544 2629 2868 3498 3816 3824 4302 4664 5247 5258 5736 6996 7632 7887 8604 9328 10494 10516 11472 12667 13992 15774 17208 20988 21032 23661 25334 27984 31548 34416 38001 41976 42064 47322 50668 63096 76002 83952 94644 101336 114003 126192 139337 152004 189288 202672 228006 278674 304008 378576 418011 456012 557348 608016 836022 912024 1114696 1254033 1672044 1824048 2229392 2508066 3344088 5016132 6688176 10032264 20064528