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124160 = 28597
BaseRepresentation
bin11110010100000000
320022022112
4132110000
512433120
62354452
71024661
oct362400
9208275
10124160
1185313
125ba28
134468a
1433368
1526bc5
hex1e500

124160 has 36 divisors (see below), whose sum is σ = 300468. Its totient is φ = 49152.

The previous prime is 124153. The next prime is 124171. The reversal of 124160 is 61421.

Adding to 124160 its reverse (61421), we get a palindrome (185581).

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 73984 = 224^2 + 272^2 .

It is a plaindrome in base 13 and base 14.

It is a congruent number.

It is an unprimeable number.

124160 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 3 ways as a sum of consecutive naturals, for example, 1232 + ... + 1328.

2124160 is an apocalyptic number.

124160 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 124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150234).

124160 is an abundant number, since it is smaller than the sum of its proper divisors (176308).

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

124160 is an frugal number, since it uses more digits than its factorization.

124160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 124160 is about 352.3634487287. The cubic root of 124160 is about 49.8877481792.

The spelling of 124160 in words is "one hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 256 320 388 485 640 776 970 1280 1552 1940 3104 3880 6208 7760 12416 15520 24832 31040 62080 124160