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20487528 = 23323167137
BaseRepresentation
bin100111000100…
…1110101101000
31102112212121100
41032021311220
520221100103
62011041400
7336066255
oct116116550
942485540
1020487528
1110623646
126a40260
1343242c9
142a1442c
151bea5a3
hex1389d68

20487528 has 96 divisors (see below), whose sum is σ = 58556160. Its totient is φ = 6462720.

The previous prime is 20487527. The next prime is 20487563. The reversal of 20487528 is 82578402.

It is a happy number.

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 = 20487492 and 20487501.

It is not an unprimeable number, because it can be changed into a prime (20487527) 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, 149476 + ... + 149612.

It is an arithmetic number, because the mean of its divisors is an integer number (609960).

Almost surely, 220487528 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 20487528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29278080).

20487528 is an abundant number, since it is smaller than the sum of its proper divisors (38068632).

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

20487528 is a wasteful number, since it uses less digits than its factorization.

20487528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 20487528 is about 4526.3150575275. The cubic root of 20487528 is about 273.6296700152.

The spelling of 20487528 in words is "twenty million, four hundred eighty-seven thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 67 72 93 124 134 137 186 201 248 268 274 279 372 402 411 536 548 558 603 744 804 822 1096 1116 1206 1233 1608 1644 2077 2232 2412 2466 3288 4154 4247 4824 4932 6231 8308 8494 9179 9864 12462 12741 16616 16988 18358 18693 24924 25482 27537 33976 36716 37386 38223 49848 50964 55074 73432 74772 76446 82611 101928 110148 149544 152892 165222 220296 284549 305784 330444 569098 660888 853647 1138196 1707294 2276392 2560941 3414588 5121882 6829176 10243764 20487528