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107240 = 2357383
BaseRepresentation
bin11010001011101000
312110002212
4122023220
511412430
62144252
7624440
oct321350
9173085
10107240
1173631
1252088
1339a73
142b120
1521b95
hex1a2e8

107240 has 32 divisors (see below), whose sum is σ = 276480. Its totient is φ = 36672.

The previous prime is 107227. The next prime is 107243. The reversal of 107240 is 42701.

107240 = T112 + T113 + ... + T126.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (107243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2107240 is an apocalyptic number.

107240 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 107240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240).

107240 is an abundant number, since it is smaller than the sum of its proper divisors (169240).

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

107240 is a wasteful number, since it uses less digits than its factorization.

107240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 107240 is about 327.4751898999. The cubic root of 107240 is about 47.5100625035.

Adding to 107240 its reverse (42701), we get a palindrome (149941).

The spelling of 107240 in words is "one hundred seven thousand, two hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 383 766 1532 1915 2681 3064 3830 5362 7660 10724 13405 15320 21448 26810 53620 107240