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102879868 = 227131092593
BaseRepresentation
bin1100010000111…
…01001001111100
321011120211122111
412020131021330
5202314123433
614113023404
72356315210
oct610351174
9234524574
10102879868
1153089193
122a554b64
1318411580
14d940940
159072dcd
hex621d27c

102879868 has 48 divisors (see below), whose sum is σ = 223706560. Its totient is φ = 40310784.

The previous prime is 102879863. The next prime is 102879871. The reversal of 102879868 is 868978201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102879863) 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 15 ways as a sum of consecutive naturals, for example, 38380 + ... + 40972.

Almost surely, 2102879868 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 102879868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111853280).

102879868 is an abundant number, since it is smaller than the sum of its proper divisors (120826692).

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

102879868 is a wasteful number, since it uses less digits than its factorization.

102879868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 49.

The square root of 102879868 is about 10142.9713595179. The cubic root of 102879868 is about 468.5725029188.

The spelling of 102879868 in words is "one hundred two million, eight hundred seventy-nine thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 109 182 218 364 436 763 1417 1526 2593 2834 3052 5186 5668 9919 10372 18151 19838 33709 36302 39676 67418 72604 134836 235963 282637 471926 565274 943852 1130548 1978459 3674281 3956918 7348562 7913836 14697124 25719967 51439934 102879868