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107440 = 2451779
BaseRepresentation
bin11010001110110000
312110101021
4122032300
511414230
62145224
7625144
oct321660
9173337
10107440
11737a3
1252214
1339b98
142b224
1521c7a
hex1a3b0

107440 has 40 divisors (see below), whose sum is σ = 267840. Its totient is φ = 39936.

The previous prime is 107377. The next prime is 107441. The reversal of 107440 is 44701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (107441) by changing a digit.

107440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1321 + ... + 1399.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2107440 is an apocalyptic number.

107440 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 107440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

107440 is an abundant number, since it is smaller than the sum of its proper divisors (160400).

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

107440 is a wasteful number, since it uses less digits than its factorization.

107440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 107440 is about 327.7804143020. The cubic root of 107440 is about 47.5395792000.

The spelling of 107440 in words is "one hundred seven thousand, four hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 79 80 85 136 158 170 272 316 340 395 632 680 790 1264 1343 1360 1580 2686 3160 5372 6320 6715 10744 13430 21488 26860 53720 107440