Search a number
-
+
107142858 = 2331092167
BaseRepresentation
bin1100110001011…
…01111011001010
321110121102101000
412120231323022
5204412032413
614344235430
72440461564
oct630557312
9243542330
10107142858
1155530019
122ba6bb76
1319274a54
1410330334
159616073
hex662deca

107142858 has 48 divisors (see below), whose sum is σ = 241738560. Its totient is φ = 35174736.

The previous prime is 107142853. The next prime is 107142859. The reversal of 107142858 is 858241701.

It is a super-2 number, since 2×1071428582 = 22959184040816328, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107142853) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 641491 + ... + 641657.

It is an arithmetic number, because the mean of its divisors is an integer number (5036220).

Almost surely, 2107142858 is an apocalyptic number.

107142858 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 107142858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120869280).

107142858 is an abundant number, since it is smaller than the sum of its proper divisors (134595702).

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

107142858 is a wasteful number, since it uses less digits than its factorization.

107142858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 107142858 is about 10350.9834315392. The cubic root of 107142858 is about 474.9571270631.

The spelling of 107142858 in words is "one hundred seven million, one hundred forty-two thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 109 167 218 327 334 501 654 981 1002 1503 1962 2943 3006 4509 5886 9018 11881 18203 23762 35643 36406 54609 71286 106929 109218 163827 213858 320787 327654 491481 641574 982962 1984127 3968254 5952381 11904762 17857143 35714286 53571429 107142858