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107220 = 22351787
BaseRepresentation
bin11010001011010100
312110002010
4122023110
511412340
62144220
7624411
oct321324
9173063
10107220
1173613
1252070
1339a59
142b108
1521b80
hex1a2d4

107220 has 24 divisors (see below), whose sum is σ = 300384. Its totient is φ = 28576.

The previous prime is 107209. The next prime is 107227. The reversal of 107220 is 22701.

It is a super-2 number, since 2×1072202 = 22992256800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 107196 and 107205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107227) 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, 834 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (12516).

2107220 is an apocalyptic number.

107220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107220 is an abundant number, since it is smaller than the sum of its proper divisors (193164).

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

107220 is a wasteful number, since it uses less digits than its factorization.

107220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 107220 is about 327.4446518116. Note that the first 3 decimals coincide. The cubic root of 107220 is about 47.5071088160.

Adding to 107220 its reverse (22701), we get a palindrome (129921).

The spelling of 107220 in words is "one hundred seven thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1787 3574 5361 7148 8935 10722 17870 21444 26805 35740 53610 107220