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103888356 = 223111324657
BaseRepresentation
bin1100011000100…
…11010111100100
321020111002000220
412030103113210
5203043411411
614150404340
72401015335
oct614232744
9236432026
10103888356
1153707950
122a9606b0
13186a5600
14db2428c
1591c1b06
hex63135e4

103888356 has 72 divisors (see below), whose sum is σ = 286411104. Its totient is φ = 29053440.

The previous prime is 103888349. The next prime is 103888357. The reversal of 103888356 is 653888301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103888357) 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 23 ways as a sum of consecutive naturals, for example, 19980 + ... + 24636.

It is an arithmetic number, because the mean of its divisors is an integer number (3977932).

Almost surely, 2103888356 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 103888356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143205552).

103888356 is an abundant number, since it is smaller than the sum of its proper divisors (182522748).

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

103888356 is a wasteful number, since it uses less digits than its factorization.

103888356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 103888356 is about 10192.5637599183. The cubic root of 103888356 is about 470.0986001072.

Subtracting 103888356 from its reverse (653888301), we obtain a palindrome (549999945).

The spelling of 103888356 in words is "one hundred three million, eight hundred eighty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 169 286 338 429 507 572 676 858 1014 1716 1859 2028 3718 4657 5577 7436 9314 11154 13971 18628 22308 27942 51227 55884 60541 102454 121082 153681 181623 204908 242164 307362 363246 614724 665951 726492 787033 1331902 1574066 1997853 2361099 2663804 3148132 3995706 4722198 7991412 8657363 9444396 17314726 25972089 34629452 51944178 103888356