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107648380 = 22577331049
BaseRepresentation
bin1100110101010…
…01010101111100
321111120002211001
412122221111330
5210024222010
614403140044
72444665450
oct632512574
9244502731
10107648380
1155845904
1230074624
13193c0b88
1410422660
1596b5c3a
hex66a957c

107648380 has 48 divisors (see below), whose sum is σ = 258955200. Its totient is φ = 36822528.

The previous prime is 107648371. The next prime is 107648381. The reversal of 107648380 is 83846701.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107648381) 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, 102096 + ... + 103144.

It is an arithmetic number, because the mean of its divisors is an integer number (5394900).

Almost surely, 2107648380 is an apocalyptic number.

107648380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107648380 is an abundant number, since it is smaller than the sum of its proper divisors (151306820).

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

107648380 is a wasteful number, since it uses less digits than its factorization.

107648380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 107648380 is about 10375.3737282085. The cubic root of 107648380 is about 475.7029370724.

The spelling of 107648380 in words is "one hundred seven million, six hundred forty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 733 1049 1466 2098 2932 3665 4196 5131 5245 7330 7343 10262 10490 14660 14686 20524 20980 25655 29372 36715 51310 73430 102620 146860 768917 1537834 3075668 3844585 5382419 7689170 10764838 15378340 21529676 26912095 53824190 107648380