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5978112 = 21137139
BaseRepresentation
bin10110110011100000000000
3102020201102120
4112303200000
53012244422
6332044240
7101545620
oct26634000
912221376
105978112
113413498
122003680
13131405a
14b18880
157d145c
hex5b3800

5978112 has 96 divisors (see below), whose sum is σ = 18345600. Its totient is φ = 1695744.

The previous prime is 5978083. The next prime is 5978117. The reversal of 5978112 is 2118795.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5978117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42939 + ... + 43077.

It is an arithmetic number, because the mean of its divisors is an integer number (191100).

Almost surely, 25978112 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 5978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9172800).

5978112 is an abundant number, since it is smaller than the sum of its proper divisors (12367488).

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

5978112 is a wasteful number, since it uses less digits than its factorization.

5978112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 151 counting only the distinct ones).

The product of its digits is 5040, while the sum is 33.

The square root of 5978112 is about 2445.0177913463. The cubic root of 5978112 is about 181.4908281836.

The spelling of 5978112 in words is "five million, nine hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 139 168 192 224 256 278 336 384 417 448 512 556 672 768 834 896 973 1024 1112 1344 1536 1668 1792 1946 2048 2224 2688 2919 3072 3336 3584 3892 4448 5376 5838 6144 6672 7168 7784 8896 10752 11676 13344 14336 15568 17792 21504 23352 26688 31136 35584 43008 46704 53376 62272 71168 93408 106752 124544 142336 186816 213504 249088 284672 373632 427008 498176 747264 854016 996352 1494528 1992704 2989056 5978112