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102485568 = 2634147277
BaseRepresentation
bin1100001101111…
…00111001000000
321010211210202210
412012330321000
5202214014233
614100342120
72353053513
oct606747100
9233753683
10102485568
1152939a19
122a3a4940
1318303c63
14d87ad7a
158ee6163
hex61bce40

102485568 has 112 divisors (see below), whose sum is σ = 284707584. Its totient is φ = 32501760.

The previous prime is 102485557. The next prime is 102485569. The reversal of 102485568 is 865584201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102485569) 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, 369846 + ... + 370122.

It is an arithmetic number, because the mean of its divisors is an integer number (2542032).

Almost surely, 2102485568 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 102485568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142353792).

102485568 is an abundant number, since it is smaller than the sum of its proper divisors (182222016).

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

102485568 is a wasteful number, since it uses less digits than its factorization.

102485568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 102485568 is about 10123.5155948909. The cubic root of 102485568 is about 467.9731155570.

The spelling of 102485568 in words is "one hundred two million, four hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 47 48 64 82 94 96 123 141 164 188 192 246 277 282 328 376 492 554 564 656 752 831 984 1108 1128 1312 1504 1662 1927 1968 2216 2256 2624 3008 3324 3854 3936 4432 4512 5781 6648 7708 7872 8864 9024 11357 11562 13019 13296 15416 17728 22714 23124 26038 26592 30832 34071 39057 45428 46248 52076 53184 61664 68142 78114 90856 92496 104152 123328 136284 156228 181712 184992 208304 272568 312456 363424 369984 416608 533779 545136 624912 726848 833216 1067558 1090272 1249824 1601337 2135116 2180544 2499648 3202674 4270232 6405348 8540464 12810696 17080928 25621392 34161856 51242784 102485568