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2100120 = 2335113743
BaseRepresentation
bin1000000000101110011000
310221200211020
420000232120
51014200440
6113002440
723564541
oct10005630
93850736
102100120
111204940
12853420
13586b99
143c94c8
152b73d0
hex200b98

2100120 has 128 divisors (see below), whose sum is σ = 7223040. Its totient is φ = 483840.

The previous prime is 2100113. The next prime is 2100121. The reversal of 2100120 is 210012.

Adding to 2100120 its reverse (210012), we get a palindrome (2310132).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 2100099 and 2100108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48819 + ... + 48861.

It is an arithmetic number, because the mean of its divisors is an integer number (56430).

22100120 is an apocalyptic number.

2100120 is a gapful number since it is divisible by the number (20) 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 2100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611520).

2100120 is an abundant number, since it is smaller than the sum of its proper divisors (5122920).

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

2100120 is a wasteful number, since it uses less digits than its factorization.

2100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2100120 is about 1449.1790779610. The cubic root of 2100120 is about 128.0603556507.

The spelling of 2100120 in words is "two million, one hundred thousand, one hundred twenty".