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101074432 = 291131747
BaseRepresentation
bin1100000011001…
…00011000000000
321001012010001111
412001210120000
5201333340212
614010213104
72335055434
oct601443000
9231163044
10101074432
1152065798
1229a24194
1317c2b874
14d5d09c4
158d17ea7
hex6064600

101074432 has 40 divisors (see below), whose sum is σ = 203855256. Its totient is φ = 50061312.

The previous prime is 101074427. The next prime is 101074439. The reversal of 101074432 is 234470101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101074439) 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, 56983 + ... + 58729.

Almost surely, 2101074432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101074432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101927628).

101074432 is an abundant number, since it is smaller than the sum of its proper divisors (102780824).

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

101074432 is an equidigital number, since it uses as much as digits as its factorization.

101074432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 101074432 is about 10053.5780695233. The cubic root of 101074432 is about 465.8153222050.

The spelling of 101074432 in words is "one hundred one million, seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 512 904 1747 1808 3494 3616 6988 7232 13976 14464 27952 28928 55904 57856 111808 197411 223616 394822 447232 789644 894464 1579288 3158576 6317152 12634304 25268608 50537216 101074432