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5996928 = 27372397
BaseRepresentation
bin10110111000000110000000
3102021200020110
4112320012000
53013400203
6332311320
7101654520
oct26700600
912250213
105996928
113426643
122012540
13131c7a2
14b21680
157d6d03
hex5b8180

5996928 has 128 divisors (see below), whose sum is σ = 19192320. Its totient is φ = 1622016.

The previous prime is 5996911. The next prime is 5996953. The reversal of 5996928 is 8296995.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (349920) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61776 + ... + 61872.

It is an arithmetic number, because the mean of its divisors is an integer number (149940).

Almost surely, 25996928 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 5996928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9596160).

5996928 is an abundant number, since it is smaller than the sum of its proper divisors (13195392).

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

5996928 is a wasteful number, since it uses less digits than its factorization.

5996928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its digits is 349920, while the sum is 48.

The square root of 5996928 is about 2448.8625931236. The cubic root of 5996928 is about 181.6810417975.

The spelling of 5996928 in words is "five million, nine hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 97 112 128 138 161 168 184 192 194 224 276 291 322 336 368 384 388 448 483 552 582 644 672 679 736 776 896 966 1104 1164 1288 1344 1358 1472 1552 1932 2037 2208 2231 2328 2576 2688 2716 2944 3104 3864 4074 4416 4462 4656 5152 5432 6208 6693 7728 8148 8832 8924 9312 10304 10864 12416 13386 15456 15617 16296 17848 18624 20608 21728 26772 30912 31234 32592 35696 37248 43456 46851 53544 61824 62468 65184 71392 86912 93702 107088 124936 130368 142784 187404 214176 249872 260736 285568 374808 428352 499744 749616 856704 999488 1499232 1998976 2998464 5996928