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107457 = 3721743
BaseRepresentation
bin11010001111000001
312110101220
4122033001
511414312
62145253
7625200
oct321701
9173356
10107457
1173809
1252229
1339bac
142b237
1521c8c
hex1a3c1

107457 has 24 divisors (see below), whose sum is σ = 180576. Its totient is φ = 56448.

The previous prime is 107453. The next prime is 107467. The reversal of 107457 is 754701.

It is not a de Polignac number, because 107457 - 22 = 107453 is a prime.

107457 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (107453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2478 + ... + 2520.

It is an arithmetic number, because the mean of its divisors is an integer number (7524).

2107457 is an apocalyptic number.

107457 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

107457 is a deficient number, since it is larger than the sum of its proper divisors (73119).

107457 is a wasteful number, since it uses less digits than its factorization.

107457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 107457 is about 327.8063452711. The cubic root of 107457 is about 47.5420864295.

The spelling of 107457 in words is "one hundred seven thousand, four hundred fifty-seven".

Divisors: 1 3 7 17 21 43 49 51 119 129 147 301 357 731 833 903 2107 2193 2499 5117 6321 15351 35819 107457