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102528 = 273289
BaseRepresentation
bin11001000010000000
312012122100
4121002000
511240103
62110400
7604626
oct310200
9165570
10102528
1170038
124b400
133788a
1429516
15205a3
hex19080

102528 has 48 divisors (see below), whose sum is σ = 298350. Its totient is φ = 33792.

The previous prime is 102523. The next prime is 102533. The reversal of 102528 is 825201.

It is an interprime number because it is at equal distance from previous prime (102523) and next prime (102533).

It can be written as a sum of positive squares in only one way, i.e., 97344 + 5184 = 312^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1025283 = 3233320173305856, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 102528.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102528.

It is not an unprimeable number, because it can be changed into a prime (102523) by changing a digit.

102528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1108 + ... + 1196.

102528 is a Friedman number, since it can be written as 801*2^(5+2), using all its digits and the basic arithmetic operations.

2102528 is an apocalyptic number.

102528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149175).

102528 is an abundant number, since it is smaller than the sum of its proper divisors (195822).

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

102528 is an equidigital number, since it uses as much as digits as its factorization.

102528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 102528 is about 320.1999375390. The cubic root of 102528 is about 46.8037691464.

Adding to 102528 its reverse (825201), we get a palindrome (927729).

It can be divided in two parts, 102 and 528, that added together give a triangular number (630 = T35).

The spelling of 102528 in words is "one hundred two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 267 288 356 384 534 576 712 801 1068 1152 1424 1602 2136 2848 3204 4272 5696 6408 8544 11392 12816 17088 25632 34176 51264 102528