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103927000 = 23531031009
BaseRepresentation
bin1100011000111…
…00110011011000
321020120001001011
412030130303120
5203101131000
614151303304
72401236112
oct614346330
9236501034
10103927000
1153733991
122a97ab34
13186ba088
14db343b2
1591cd2ba
hex631ccd8

103927000 has 64 divisors (see below), whose sum is σ = 245793600. Its totient is φ = 41126400.

The previous prime is 103926989. The next prime is 103927009. The reversal of 103927000 is 729301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103927009) 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 15 ways as a sum of consecutive naturals, for example, 102496 + ... + 103504.

It is an arithmetic number, because the mean of its divisors is an integer number (3840525).

Almost surely, 2103927000 is an apocalyptic number.

103927000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103927000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122896800).

103927000 is an abundant number, since it is smaller than the sum of its proper divisors (141866600).

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

103927000 is a wasteful number, since it uses less digits than its factorization.

103927000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 103927000 is about 10194.4592794321. The cubic root of 103927000 is about 470.1568813846.

The spelling of 103927000 in words is "one hundred three million, nine hundred twenty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 200 206 250 412 500 515 824 1000 1009 1030 2018 2060 2575 4036 4120 5045 5150 8072 10090 10300 12875 20180 20600 25225 25750 40360 50450 51500 100900 103000 103927 126125 201800 207854 252250 415708 504500 519635 831416 1009000 1039270 2078540 2598175 4157080 5196350 10392700 12990875 20785400 25981750 51963500 103927000