| Base | Representation |
|---|---|
| bin | 1100001111001… |
| … | …01110000011100 |
| 3 | 21011011022101100 |
| 4 | 12013211300130 |
| 5 | 202234343311 |
| 6 | 14104113100 |
| 7 | 2354351520 |
| oct | 607456034 |
| 9 | 234138340 |
| 10 | 102652956 |
| 11 | 52a4375a |
| 12 | 2a465790 |
| 13 | 183621c3 |
| 14 | d8c1d80 |
| 15 | 902aa56 |
| hex | 61e5c1c |
102652956 has 144 divisors (see below), whose sum is σ = 314496000. Its totient is φ = 27599616.
The previous prime is 102652951. The next prime is 102652961. The reversal of 102652956 is 659256201.
102652956 is a nontrivial binomial coefficient, being equal to C(14329, 2).
It is an interprime number because it is at equal distance from previous prime (102652951) and next prime (102652961).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 102652956.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102652951) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515745 + ... + 515943.
It is an arithmetic number, because the mean of its divisors is an integer number (2184000).
Almost surely, 2102652956 is an apocalyptic number.
102652956 is the 14328-th triangular number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 102652956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).
102652956 is an abundant number, since it is smaller than the sum of its proper divisors (211843044).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102652956 is a wasteful number, since it uses less digits than its factorization.
102652956 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 328 (or 323 counting only the distinct ones).
The product of its (nonzero) digits is 32400, while the sum is 36.
The square root of 102652956 is about 10131.7795080627. The cubic root of 102652956 is about 468.2277545835.
The spelling of 102652956 in words is "one hundred two million, six hundred fifty-two thousand, nine hundred fifty-six".
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