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103879644 = 223112233529
BaseRepresentation
bin1100011000100…
…01001111011100
321020110122002020
412030101033130
5203043122034
614150300140
72400651051
oct614211734
9236418066
10103879644
1153701350
122a957650
13186a165b
14db21028
1591be249
hex63113dc

103879644 has 48 divisors (see below), whose sum is σ = 265681920. Its totient is φ = 31328640.

The previous prime is 103879627. The next prime is 103879649. The reversal of 103879644 is 446978301.

It is a junction number, because it is equal to n+sod(n) for n = 103879596 and 103879605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103879649) 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, 27672 + ... + 31200.

It is an arithmetic number, because the mean of its divisors is an integer number (5535040).

Almost surely, 2103879644 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 103879644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132840960).

103879644 is an abundant number, since it is smaller than the sum of its proper divisors (161802276).

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

103879644 is a wasteful number, since it uses less digits than its factorization.

103879644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 103879644 is about 10192.1363805632. The cubic root of 103879644 is about 470.0854590339.

The spelling of 103879644 in words is "one hundred three million, eight hundred seventy-nine thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 223 446 669 892 1338 2453 2676 3529 4906 7058 7359 9812 10587 14116 14718 21174 29436 38819 42348 77638 116457 155276 232914 465828 786967 1573934 2360901 3147868 4721802 8656637 9443604 17313274 25969911 34626548 51939822 103879644