Search a number
-
+
102733876 = 22731711667
BaseRepresentation
bin1100001111110…
…01100000110100
321011022102101101
412013321200310
5202244441001
614105535444
72355136450
oct607714064
9234272341
10102733876
1152a99533
122a4a4584
131838cc9b
14d903660
159044a01
hex61f9834

102733876 has 48 divisors (see below), whose sum is σ = 215212032. Its totient is φ = 41983200.

The previous prime is 102733853. The next prime is 102733889. The reversal of 102733876 is 678337201.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 60795 + ... + 62461.

It is an arithmetic number, because the mean of its divisors is an integer number (4483584).

Almost surely, 2102733876 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 102733876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107606016).

102733876 is an abundant number, since it is smaller than the sum of its proper divisors (112478156).

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

102733876 is a wasteful number, since it uses less digits than its factorization.

102733876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 102733876 is about 10135.7720968854. The cubic root of 102733876 is about 468.3507549007.

The spelling of 102733876 in words is "one hundred two million, seven hundred thirty-three thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 14 28 31 62 71 124 142 217 284 434 497 868 994 1667 1988 2201 3334 4402 6668 8804 11669 15407 23338 30814 46676 51677 61628 103354 118357 206708 236714 361739 473428 723478 828499 1446956 1656998 3313996 3669067 7338134 14676268 25683469 51366938 102733876