Search a number
-
+
103293918 = 232713193319
BaseRepresentation
bin1100010100000…
…10001111011110
321012100212121200
412022002033132
5202420401133
614125540330
72362661310
oct612021736
9235325550
10103293918
1153341282
122a7146a6
1318527b80
14da0b7b0
159105913
hex62823de

103293918 has 96 divisors (see below), whose sum is σ = 290035200. Its totient is φ = 25800768.

The previous prime is 103293917. The next prime is 103293947. The reversal of 103293918 is 819392301.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103293913) 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 47 ways as a sum of consecutive naturals, for example, 29463 + ... + 32781.

It is an arithmetic number, because the mean of its divisors is an integer number (3021200).

Almost surely, 2103293918 is an apocalyptic number.

103293918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103293918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145017600).

103293918 is an abundant number, since it is smaller than the sum of its proper divisors (186741282).

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

103293918 is a wasteful number, since it uses less digits than its factorization.

103293918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3363 counting only the distinct ones).

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

The square root of 103293918 is about 10163.3615501959. The cubic root of 103293918 is about 469.2002666560.

The spelling of 103293918 in words is "one hundred three million, two hundred ninety-three thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 38 39 42 57 63 78 91 114 117 126 133 171 182 234 247 266 273 342 399 494 546 741 798 819 1197 1482 1638 1729 2223 2394 3319 3458 4446 5187 6638 9957 10374 15561 19914 23233 29871 31122 43147 46466 59742 63061 69699 86294 126122 129441 139398 189183 209097 258882 302029 378366 388323 418194 441427 567549 604058 776646 819793 882854 906087 1135098 1324281 1639586 1812174 2459379 2648562 2718261 3972843 4918758 5436522 5738551 7378137 7945686 11477102 14756274 17215653 34431306 51646959 103293918