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2030112 = 253271953
BaseRepresentation
bin111101111101000100000
310211010210100
413233220200
51004430422
6111302400
723153460
oct7575040
93733710
102030112
111167287
1281aa00
13561066
143abba0
152a17ac
hex1efa20

2030112 has 144 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 539136.

The previous prime is 2030101. The next prime is 2030117. The reversal of 2030112 is 2110302.

Adding to 2030112 its reverse (2110302), we get a palindrome (4140414).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2030094 and 2030103.

It is not an unprimeable number, because it can be changed into a prime (2030117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38278 + ... + 38330.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

22030112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2030112 is an abundant number, since it is smaller than the sum of its proper divisors (5046048).

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

2030112 is a wasteful number, since it uses less digits than its factorization.

2030112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2030112 is about 1424.8199886301. The cubic root of 2030112 is about 126.6212702819.

The spelling of 2030112 in words is "two million, thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 53 56 57 63 72 76 84 96 106 112 114 126 133 144 152 159 168 171 212 224 228 252 266 288 304 318 336 342 371 399 424 456 477 504 532 608 636 672 684 742 798 848 912 954 1007 1008 1064 1113 1197 1272 1368 1484 1596 1696 1824 1908 2014 2016 2128 2226 2394 2544 2736 2968 3021 3192 3339 3816 4028 4256 4452 4788 5088 5472 5936 6042 6384 6678 7049 7632 8056 8904 9063 9576 11872 12084 12768 13356 14098 15264 16112 17808 18126 19152 21147 24168 26712 28196 32224 35616 36252 38304 42294 48336 53424 56392 63441 72504 84588 96672 106848 112784 126882 145008 169176 225568 253764 290016 338352 507528 676704 1015056 2030112