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106781232 = 2436136469
BaseRepresentation
bin1100101110101…
…01101000110000
321102221001022110
412113111220300
5204313444412
614332405320
72434424355
oct627255060
9242831273
10106781232
1155303358
122b916840
131917927c
141027862c
159593d3c
hex65d5a30

106781232 has 40 divisors (see below), whose sum is σ = 280381360. Its totient is φ = 35009280.

The previous prime is 106781201. The next prime is 106781239. The reversal of 106781232 is 232187601.

It is a super-2 number, since 2×1067812322 = 22804463014875648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106781232.

It is not an unprimeable number, because it can be changed into a prime (106781239) 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, 15307 + ... + 21162.

It is an arithmetic number, because the mean of its divisors is an integer number (7009534).

Almost surely, 2106781232 is an apocalyptic number.

106781232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106781232 is an abundant number, since it is smaller than the sum of its proper divisors (173600128).

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

106781232 is a wasteful number, since it uses less digits than its factorization.

106781232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36541 (or 36535 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 106781232 is about 10333.5004717666. The cubic root of 106781232 is about 474.4221701251.

The spelling of 106781232 in words is "one hundred six million, seven hundred eighty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 2928 36469 72938 109407 145876 218814 291752 437628 583504 875256 1750512 2224609 4449218 6673827 8898436 13347654 17796872 26695308 35593744 53390616 106781232