Search a number
-
+
102828313 = 73349859
BaseRepresentation
bin1100010000100…
…00100100011001
321011111012221001
412020100210121
5202311001223
614111545001
72356012000
oct610204431
9234435831
10102828313
1153053485
122a52b161
13183c3c73
14d929c37
1590629ad
hex6210919

102828313 has 16 divisors (see below), whose sum is σ = 120400000. Its totient is φ = 87783696.

The previous prime is 102828307. The next prime is 102828379. The reversal of 102828313 is 313828201.

It is not a de Polignac number, because 102828313 - 25 = 102828281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102828613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119278 + ... + 120136.

It is an arithmetic number, because the mean of its divisors is an integer number (7525000).

Almost surely, 2102828313 is an apocalyptic number.

It is an amenable number.

102828313 is a deficient number, since it is larger than the sum of its proper divisors (17571687).

102828313 is an frugal number, since it uses more digits than its factorization.

102828313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 102828313 is about 10140.4296260070. The cubic root of 102828313 is about 468.4942197322.

The spelling of 102828313 in words is "one hundred two million, eight hundred twenty-eight thousand, three hundred thirteen".

Divisors: 1 7 49 343 349 859 2443 6013 17101 42091 119707 294637 299791 2098537 14689759 102828313