Search a number
-
+
106352140 = 22543912113
BaseRepresentation
bin1100101011011…
…00111000001100
321102010020201011
412111230320030
5204211232030
614315255004
72430656356
oct625547014
9242106634
10106352140
115503aa34
122b74a464
1319058b7b
14101a60d6
15950bb2a
hex656ce0c

106352140 has 24 divisors (see below), whose sum is σ = 223866720. Its totient is φ = 42440448.

The previous prime is 106352131. The next prime is 106352143. The reversal of 106352140 is 41253601.

It is a super-2 number, since 2×1063521402 = 22621555365159200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106352143) 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 7 ways as a sum of consecutive naturals, for example, 2724 + ... + 14836.

It is an arithmetic number, because the mean of its divisors is an integer number (9327780).

Almost surely, 2106352140 is an apocalyptic number.

106352140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106352140 is an abundant number, since it is smaller than the sum of its proper divisors (117514580).

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

106352140 is a wasteful number, since it uses less digits than its factorization.

106352140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12561 (or 12559 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 106352140 is about 10312.7173916480. The cubic root of 106352140 is about 473.7858409310.

The spelling of 106352140 in words is "one hundred six million, three hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 439 878 1756 2195 4390 8780 12113 24226 48452 60565 121130 242260 5317607 10635214 21270428 26588035 53176070 106352140