Search a number
-
+
106957932 = 2238913161
BaseRepresentation
bin1100110000000…
…00110001101100
321110021000200220
412120000301230
5204340123212
614340251340
72436061464
oct630006154
9243230626
10106957932
1155414094
122b9a0b50
131920b823
14102c2ba4
1595cb38c
hex6600c6c

106957932 has 12 divisors (see below), whose sum is σ = 249568536. Its totient is φ = 35652640.

The previous prime is 106957927. The next prime is 106957933. The reversal of 106957932 is 239759601.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×1069579322 = 22879998435433248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106957933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4456569 + ... + 4456592.

It is an arithmetic number, because the mean of its divisors is an integer number (20797378).

Almost surely, 2106957932 is an apocalyptic number.

106957932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106957932 is an abundant number, since it is smaller than the sum of its proper divisors (142610604).

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

106957932 is a wasteful number, since it uses less digits than its factorization.

106957932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8913168 (or 8913166 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 106957932 is about 10342.0467993526. The cubic root of 106957932 is about 474.6837148364.

The spelling of 106957932 in words is "one hundred six million, nine hundred fifty-seven thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 8913161 17826322 26739483 35652644 53478966 106957932