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126100 = 22521397
BaseRepresentation
bin11110110010010100
320101222101
4132302110
513013400
62411444
71033432
oct366224
9211871
10126100
1186817
1260b84
1345520
1433d52
152756a
hex1ec94

126100 has 36 divisors (see below), whose sum is σ = 297724. Its totient is φ = 46080.

The previous prime is 126097. The next prime is 126107. The reversal of 126100 is 1621.

It can be written as a sum of positive squares in 6 ways, for example, as 15876 + 110224 = 126^2 + 332^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1252 + ... + 1348.

2126100 is an apocalyptic number.

126100 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 126100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148862).

126100 is an abundant number, since it is smaller than the sum of its proper divisors (171624).

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

126100 is a wasteful number, since it uses less digits than its factorization.

126100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 126100 is about 355.1056180913. The cubic root of 126100 is about 50.1462385355.

Adding to 126100 its reverse (1621), we get a palindrome (127721).

The spelling of 126100 in words is "one hundred twenty-six thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 97 100 130 194 260 325 388 485 650 970 1261 1300 1940 2425 2522 4850 5044 6305 9700 12610 25220 31525 63050 126100