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101379792 = 2432112079
BaseRepresentation
bin1100000101011…
…10111011010000
321001202121221010
412002232323100
5201423123132
614020530520
72340466623
oct602567320
9231677833
10101379792
1152254158
1229b50a40
1318007857
14d66ddba
158d786cc
hex60aeed0

101379792 has 20 divisors (see below), whose sum is σ = 261897920. Its totient is φ = 33793248.

The previous prime is 101379787. The next prime is 101379793. The reversal of 101379792 is 297973101.

It is a self number, because there is not a number n which added to its sum of digits gives 101379792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101379793) 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 3 ways as a sum of consecutive naturals, for example, 1055992 + ... + 1056087.

It is an arithmetic number, because the mean of its divisors is an integer number (13094896).

Almost surely, 2101379792 is an apocalyptic number.

101379792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101379792 is an abundant number, since it is smaller than the sum of its proper divisors (160518128).

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

101379792 is a wasteful number, since it uses less digits than its factorization.

101379792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112090 (or 2112084 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 101379792 is about 10068.7532495339. The cubic root of 101379792 is about 466.2839483459.

The spelling of 101379792 in words is "one hundred one million, three hundred seventy-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 2112079 4224158 6336237 8448316 12672474 16896632 25344948 33793264 50689896 101379792