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1146112 = 2811237
BaseRepresentation
bin100010111110100000000
32011020011121
410113310000
5243133422
640322024
712512302
oct4276400
92136147
101146112
11713100
12473314
13311896
1421b972
151798c7
hex117d00

1146112 has 54 divisors (see below), whose sum is σ = 2582594. Its totient is φ = 506880.

The previous prime is 1146097. The next prime is 1146133. The reversal of 1146112 is 2116411.

It can be written as a sum of positive squares in only one way, i.e., 1115136 + 30976 = 1056^2 + 176^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30958 + ... + 30994.

21146112 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 1146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291297).

1146112 is an abundant number, since it is smaller than the sum of its proper divisors (1436482).

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

1146112 is an equidigital number, since it uses as much as digits as its factorization.

1146112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 50 counting only the distinct ones).

The product of its digits is 48, while the sum is 16.

The square root of 1146112 is about 1070.5662053325. The cubic root of 1146112 is about 104.6507519494.

Subtracting 1146112 from its reverse (2116411), we obtain a cube (970299 = 993).

It can be divided in two parts, 114 and 6112, that added together give a palindrome (6226).

The spelling of 1146112 in words is "one million, one hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 121 128 148 176 242 256 296 352 407 484 592 704 814 968 1184 1408 1628 1936 2368 2816 3256 3872 4477 4736 6512 7744 8954 9472 13024 15488 17908 26048 30976 35816 52096 71632 104192 143264 286528 573056 1146112