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106832152 = 237338933
BaseRepresentation
bin1100101111000…
…10000100011000
321110000122011101
412113202010120
5204322112102
614333441144
72435026000
oct627420430
9243018141
10106832152
1155338639
122b9401b4
13191964bb
141028d000
1595a3e87
hex65e2118

106832152 has 32 divisors (see below), whose sum is σ = 233604000. Its totient is φ = 45784032.

The previous prime is 106832149. The next prime is 106832177. The reversal of 106832152 is 251238601.

It is a super-2 number, since 2×1068321522 = 22826217401902208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 106832152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16723 + ... + 22210.

It is an arithmetic number, because the mean of its divisors is an integer number (7300125).

Almost surely, 2106832152 is an apocalyptic number.

It is an amenable number.

106832152 is an abundant number, since it is smaller than the sum of its proper divisors (126771848).

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

106832152 is an equidigital number, since it uses as much as digits as its factorization.

106832152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38960 (or 38942 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 106832152 is about 10335.9640092253. The cubic root of 106832152 is about 474.4975695735.

The spelling of 106832152 in words is "one hundred six million, eight hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 2744 38933 77866 155732 272531 311464 545062 1090124 1907717 2180248 3815434 7630868 13354019 15261736 26708038 53416076 106832152