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2100180 = 2235172971
BaseRepresentation
bin1000000000101111010100
310221200220110
420000233110
51014201210
6113003020
723564655
oct10005724
93850813
102100180
111204995
12853470
13586c14
143c952c
152b7420
hex200bd4

2100180 has 96 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 501760.

The previous prime is 2100173. The next prime is 2100181. The reversal of 2100180 is 810012.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29545 + ... + 29615.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

22100180 is an apocalyptic number.

2100180 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 2100180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2100180 is an abundant number, since it is smaller than the sum of its proper divisors (4431660).

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

2100180 is a wasteful number, since it uses less digits than its factorization.

2100180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2100180 is about 1449.1997791885. The cubic root of 2100180 is about 128.0615751918.

Adding to 2100180 its reverse (810012), we get a palindrome (2910192).

The spelling of 2100180 in words is "two million, one hundred thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 71 85 87 102 116 142 145 170 174 204 213 255 284 290 340 348 355 426 435 493 510 580 710 852 870 986 1020 1065 1207 1420 1479 1740 1972 2059 2130 2414 2465 2958 3621 4118 4260 4828 4930 5916 6035 6177 7242 7395 8236 9860 10295 12070 12354 14484 14790 18105 20590 24140 24708 29580 30885 35003 36210 41180 61770 70006 72420 105009 123540 140012 175015 210018 350030 420036 525045 700060 1050090 2100180