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107280705 = 3579911031
BaseRepresentation
bin1100110010011…
…11100101000001
321110212102110110
412121033211001
5204430440310
614351221533
72441604510
oct631174501
9243772413
10107280705
1155614644
122bb178a9
13192c270c
1410368677
159641d20
hex664f941

107280705 has 32 divisors (see below), whose sum is σ = 196558848. Its totient is φ = 48945600.

The previous prime is 107280683. The next prime is 107280709. The reversal of 107280705 is 507082701.

It is a happy number.

It is not a de Polignac number, because 107280705 - 28 = 107280449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107280709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103540 + ... + 104570.

It is an arithmetic number, because the mean of its divisors is an integer number (6142464).

Almost surely, 2107280705 is an apocalyptic number.

107280705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107280705 is a deficient number, since it is larger than the sum of its proper divisors (89278143).

107280705 is a wasteful number, since it uses less digits than its factorization.

107280705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037.

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 107280705 is about 10357.6399338846. The cubic root of 107280705 is about 475.1607286173.

The spelling of 107280705 in words is "one hundred seven million, two hundred eighty thousand, seven hundred five".

Divisors: 1 3 5 7 15 21 35 105 991 1031 2973 3093 4955 5155 6937 7217 14865 15465 20811 21651 34685 36085 104055 108255 1021721 3065163 5108605 7152047 15325815 21456141 35760235 107280705