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103107940 = 225132271747
BaseRepresentation
bin1100010010101…
…00110101100100
321012000102111121
412021110311210
5202343423230
614121543324
72361255145
oct611246544
9235012447
10103107940
1153224581
122a644b44
1318491320
14d99dacc
1590ba77a
hex6254d64

103107940 has 48 divisors (see below), whose sum is σ = 234343872. Its totient is φ = 37881216.

The previous prime is 103107931. The next prime is 103107943. The reversal of 103107940 is 49701301.

It is not an unprimeable number, because it can be changed into a prime (103107943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58147 + ... + 59893.

It is an arithmetic number, because the mean of its divisors is an integer number (4882164).

Almost surely, 2103107940 is an apocalyptic number.

103107940 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 103107940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117171936).

103107940 is an abundant number, since it is smaller than the sum of its proper divisors (131235932).

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

103107940 is a wasteful number, since it uses less digits than its factorization.

103107940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 103107940 is about 10154.2079947182. The cubic root of 103107940 is about 468.9185032129.

The spelling of 103107940 in words is "one hundred three million, one hundred seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 227 260 454 908 1135 1747 2270 2951 3494 4540 5902 6988 8735 11804 14755 17470 22711 29510 34940 45422 59020 90844 113555 227110 396569 454220 793138 1586276 1982845 3965690 5155397 7931380 10310794 20621588 25776985 51553970 103107940