Search a number
-
+
107023408 = 24311271699
BaseRepresentation
bin1100110000100…
…00110000110000
321110101100111221
412120100300300
5204344222113
614341514424
72436453412
oct630206060
9243340457
10107023408
11554592a8
122ba12a14
131923257b
14102dc9b2
1595e098d
hex6610c30

107023408 has 40 divisors (see below), whose sum is σ = 215859200. Its totient is φ = 51347520.

The previous prime is 107023403. The next prime is 107023421. The reversal of 107023408 is 804320701.

It is a super-2 number, since 2×1070234082 = 22908019719868928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107023403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62143 + ... + 63841.

It is an arithmetic number, because the mean of its divisors is an integer number (5396480).

Almost surely, 2107023408 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 107023408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107929600).

107023408 is an abundant number, since it is smaller than the sum of its proper divisors (108835792).

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

107023408 is a wasteful number, since it uses less digits than its factorization.

107023408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 107023408 is about 10345.2118393003. The cubic root of 107023408 is about 474.7805568077.

The spelling of 107023408 in words is "one hundred seven million, twenty-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 31 62 124 127 248 254 496 508 1016 1699 2032 3398 3937 6796 7874 13592 15748 27184 31496 52669 62992 105338 210676 215773 421352 431546 842704 863092 1726184 3452368 6688963 13377926 26755852 53511704 107023408