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1358112 = 25374347
BaseRepresentation
bin101001011100100100000
32112222222110
411023210200
5321424422
645035320
714354340
oct5134440
92488873
101358112
11848408
12555b40
13387222
14274d20
151bc60c
hex14b920

1358112 has 96 divisors (see below), whose sum is σ = 4257792. Its totient is φ = 370944.

The previous prime is 1358111. The next prime is 1358143. The reversal of 1358112 is 2118531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1358111) 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, 28873 + ... + 28919.

It is an arithmetic number, because the mean of its divisors is an integer number (44352).

21358112 is an apocalyptic number.

1358112 is a gapful number since it is divisible by the number (12) 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 1358112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128896).

1358112 is an abundant number, since it is smaller than the sum of its proper divisors (2899680).

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

1358112 is a wasteful number, since it uses less digits than its factorization.

1358112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its digits is 240, while the sum is 21.

The square root of 1358112 is about 1165.3806245172. The cubic root of 1358112 is about 110.7418723982.

The spelling of 1358112 in words is "one million, three hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 47 48 56 84 86 94 96 112 129 141 168 172 188 224 258 282 301 329 336 344 376 516 564 602 658 672 688 752 903 987 1032 1128 1204 1316 1376 1504 1806 1974 2021 2064 2256 2408 2632 3612 3948 4042 4128 4512 4816 5264 6063 7224 7896 8084 9632 10528 12126 14147 14448 15792 16168 24252 28294 28896 31584 32336 42441 48504 56588 64672 84882 97008 113176 169764 194016 226352 339528 452704 679056 1358112