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109720 = 23513211
BaseRepresentation
bin11010110010011000
312120111201
4122302120
512002340
62203544
7634612
oct326230
9176451
10109720
1175486
12535b4
133ac30
142bdb2
152279a
hex1ac98

109720 has 32 divisors (see below), whose sum is σ = 267120. Its totient is φ = 40320.

The previous prime is 109717. The next prime is 109721. The reversal of 109720 is 27901.

109720 is nontrivially palindromic in base 14.

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109721) 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, 415 + ... + 625.

2109720 is an apocalyptic number.

109720 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 109720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133560).

109720 is an abundant number, since it is smaller than the sum of its proper divisors (157400).

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

109720 is a wasteful number, since it uses less digits than its factorization.

109720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 109720 is about 331.2400941915. The cubic root of 109720 is about 47.8735095555.

It can be divided in two parts, 10 and 9720, that added together give a triangular number (9730 = T139).

The spelling of 109720 in words is "one hundred nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 211 260 422 520 844 1055 1688 2110 2743 4220 5486 8440 10972 13715 21944 27430 54860 109720