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103398912 = 2932191181
BaseRepresentation
bin1100010100110…
…11111000000000
321012120012122100
412022123320000
5202432231122
614132110400
72363606361
oct612337000
9235505570
10103398912
1153403151
122a765400
13185638b6
14da37b68
159126aac
hex629be00

103398912 has 120 divisors (see below), whose sum is σ = 314388360. Its totient is φ = 32624640.

The previous prime is 103398859. The next prime is 103398917. The reversal of 103398912 is 219893301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103398917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86962 + ... + 88142.

It is an arithmetic number, because the mean of its divisors is an integer number (2619903).

Almost surely, 2103398912 is an apocalyptic number.

103398912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103398912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157194180).

103398912 is an abundant number, since it is smaller than the sum of its proper divisors (210989448).

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

103398912 is a wasteful number, since it uses less digits than its factorization.

103398912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 103398912 is about 10168.5255568347. The cubic root of 103398912 is about 469.3591870515.

The spelling of 103398912 in words is "one hundred three million, three hundred ninety-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1152 1181 1216 1368 1536 1824 2304 2362 2432 2736 3543 3648 4608 4724 4864 5472 7086 7296 9448 9728 10629 10944 14172 14592 18896 21258 21888 22439 28344 29184 37792 42516 43776 44878 56688 67317 75584 85032 87552 89756 113376 134634 151168 170064 179512 201951 226752 269268 302336 340128 359024 403902 453504 538536 604672 680256 718048 807804 907008 1077072 1360512 1436096 1615608 1814016 2154144 2721024 2872192 3231216 4308288 5442048 5744384 6462432 8616576 11488768 12924864 17233152 25849728 34466304 51699456 103398912