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101400832 = 281330469
BaseRepresentation
bin1100000101101…
…00000100000000
321001210200210101
412002310010000
5201424311312
614021212144
72340615151
oct602640400
9231720711
10101400832
1152268a45
1229b61054
13180142c0
14d677928
158d7ea57
hex60b4100

101400832 has 36 divisors (see below), whose sum is σ = 217982380. Its totient is φ = 46798848.

The previous prime is 101400821. The next prime is 101400839. The reversal of 101400832 is 238004101.

It can be written as a sum of positive squares in 2 ways, for example, as 32444416 + 68956416 = 5696^2 + 8304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101400839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11907 + ... + 18562.

Almost surely, 2101400832 is an apocalyptic number.

It is an amenable number.

101400832 is an abundant number, since it is smaller than the sum of its proper divisors (116581548).

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

101400832 is an equidigital number, since it uses as much as digits as its factorization.

101400832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30498 (or 30484 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 101400832 is about 10069.7980118769. The cubic root of 101400832 is about 466.3162030832.

Adding to 101400832 its reverse (238004101), we get a palindrome (339404933).

The spelling of 101400832 in words is "one hundred one million, four hundred thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 30469 60938 121876 243752 396097 487504 792194 975008 1584388 1950016 3168776 3900032 6337552 7800064 12675104 25350208 50700416 101400832