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2100252 = 2237112273
BaseRepresentation
bin1000000000110000011100
310221201000010
420000300130
51014202002
6113003220
723565120
oct10006034
93851003
102100252
111204a50
12853510
13586c6b
143c9580
152b746c
hex200c1c

2100252 has 48 divisors (see below), whose sum is σ = 6112512. Its totient is φ = 545280.

The previous prime is 2100247. The next prime is 2100253. The reversal of 2100252 is 2520012.

It is a super-2 number, since 2×21002522 = 8822116927008, which contains 22 as substring.

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 (2100253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213 + ... + 2060.

It is an arithmetic number, because the mean of its divisors is an integer number (127344).

22100252 is an apocalyptic number.

2100252 is a gapful number since it is divisible by the number (22) 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 2100252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056256).

2100252 is an abundant number, since it is smaller than the sum of its proper divisors (4012260).

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

2100252 is a wasteful number, since it uses less digits than its factorization.

2100252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2100252 is about 1449.2246202711. The cubic root of 2100252 is about 128.0630386105.

Adding to 2100252 its reverse (2520012), we get a palindrome (4620264).

The spelling of 2100252 in words is "two million, one hundred thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 2273 4546 6819 9092 13638 15911 25003 27276 31822 47733 50006 63644 75009 95466 100012 150018 175021 190932 300036 350042 525063 700084 1050126 2100252