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102028056 = 23313349937
BaseRepresentation
bin1100001010011…
…01001100011000
321002222120011220
412011031030120
5202104344211
614042452040
72346136614
oct605151430
9232876156
10102028056
1152657209
122a204020
13181a3940
14d79c344
158e55806
hex614d318

102028056 has 64 divisors (see below), whose sum is σ = 275772000. Its totient is φ = 31269888.

The previous prime is 102028019. The next prime is 102028109. The reversal of 102028056 is 650820201.

It is a super-2 number, since 2×1020280562 = 20819448422278272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108420 + ... + 109356.

Almost surely, 2102028056 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 102028056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137886000).

102028056 is an abundant number, since it is smaller than the sum of its proper divisors (173743944).

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

102028056 is a wasteful number, since it uses less digits than its factorization.

102028056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 102028056 is about 10100.8938218358. The cubic root of 102028056 is about 467.2757077498.

Adding to 102028056 its reverse (650820201), we get a palindrome (752848257).

The spelling of 102028056 in words is "one hundred two million, twenty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 349 698 937 1047 1396 1874 2094 2792 2811 3748 4188 4537 5622 7496 8376 9074 11244 12181 13611 18148 22488 24362 27222 36296 36543 48724 54444 73086 97448 108888 146172 292344 327013 654026 981039 1308052 1962078 2616104 3924156 4251169 7848312 8502338 12753507 17004676 25507014 34009352 51014028 102028056