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102021384 = 23359109661
BaseRepresentation
bin1100001010010…
…11100100001000
321002222020000210
412011023210020
5202104141014
614042401120
72346111303
oct605134410
9232866023
10102021384
11526521a3
122a2001a0
13181a08aa
14d799b3a
158e53859
hex614b908

102021384 has 64 divisors (see below), whose sum is σ = 262152000. Its totient is φ = 33073920.

The previous prime is 102021329. The next prime is 102021389. The reversal of 102021384 is 483120201.

It is a self number, because there is not a number n which added to its sum of digits gives 102021384.

It is not an unprimeable number, because it can be changed into a prime (102021389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154014 + ... + 154674.

It is an arithmetic number, because the mean of its divisors is an integer number (4096125).

Almost surely, 2102021384 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 102021384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131076000).

102021384 is an abundant number, since it is smaller than the sum of its proper divisors (160130616).

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

102021384 is a wasteful number, since it uses less digits than its factorization.

102021384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 102021384 is about 10100.5635486343. The cubic root of 102021384 is about 467.2655218866.

Adding to 102021384 its reverse (483120201), we get a palindrome (585141585).

The spelling of 102021384 in words is "one hundred two million, twenty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 59 109 118 177 218 236 327 354 436 472 654 661 708 872 1308 1322 1416 1983 2616 2644 3966 5288 6431 7932 12862 15864 19293 25724 38586 38999 51448 72049 77172 77998 116997 144098 154344 155996 216147 233994 288196 311992 432294 467988 576392 864588 935976 1729176 4250891 8501782 12752673 17003564 25505346 34007128 51010692 102021384