Search a number
-
+
107914338 = 23271945077
BaseRepresentation
bin1100110111010…
…10010001100010
321112001121122100
412123222101202
5210111224323
614412551230
72450154030
oct633522142
9245047570
10107914338
1155a07704
1230182516
1319484c4c
1410491550
159719943
hex66ea462

107914338 has 48 divisors (see below), whose sum is σ = 281286720. Its totient is φ = 29209248.

The previous prime is 107914309. The next prime is 107914381. The reversal of 107914338 is 833419701.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

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, 20145 + ... + 24932.

It is an arithmetic number, because the mean of its divisors is an integer number (5860140).

Almost surely, 2107914338 is an apocalyptic number.

107914338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

107914338 is an abundant number, since it is smaller than the sum of its proper divisors (173372382).

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

107914338 is a wasteful number, since it uses less digits than its factorization.

107914338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45111 (or 45108 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 107914338 is about 10388.1826129502. The cubic root of 107914338 is about 476.0943749272.

It can be divided in two parts, 10791 and 4338, that added together give a square (15129 = 1232).

The spelling of 107914338 in words is "one hundred seven million, nine hundred fourteen thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 45077 90154 135231 270462 315539 405693 631078 811386 856463 946617 1712926 1893234 2569389 2839851 5138778 5679702 5995241 7708167 11990482 15416334 17985723 35971446 53957169 107914338