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103980016 = 2475771609
BaseRepresentation
bin1100011001010…
…01101111110000
321020122201202201
412030221233300
5203104330031
614152352544
72401546510
oct614515760
9236581681
10103980016
115376a7a8
122a9a5754
131870824a
14db49840
1591ddd61
hex6329bf0

103980016 has 40 divisors (see below), whose sum is σ = 230783840. Its totient is φ = 44457984.

The previous prime is 103979999. The next prime is 103980029. The reversal of 103980016 is 610089301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63820 + ... + 65428.

It is an arithmetic number, because the mean of its divisors is an integer number (5769596).

Almost surely, 2103980016 is an apocalyptic number.

103980016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103980016 is an abundant number, since it is smaller than the sum of its proper divisors (126803824).

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

103980016 is a wasteful number, since it uses less digits than its factorization.

103980016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 103980016 is about 10197.0591839020. The cubic root of 103980016 is about 470.2368144144.

The spelling of 103980016 in words is "one hundred three million, nine hundred eighty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 577 1154 1609 2308 3218 4039 4616 6436 8078 9232 11263 12872 16156 22526 25744 32312 45052 64624 90104 180208 928393 1856786 3713572 6498751 7427144 12997502 14854288 25995004 51990008 103980016