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5868128 = 257172367
BaseRepresentation
bin10110011000101001100000
3102001010120002
4112120221200
53000240003
6325435132
7100610150
oct26305140
912033502
105868128
1133488a2
121b6baa8
1312a5c86
14aca760
157ada88
hex598a60

5868128 has 96 divisors (see below), whose sum is σ = 14805504. Its totient is φ = 2230272.

The previous prime is 5868127. The next prime is 5868133. The reversal of 5868128 is 8218685.

It is a junction number, because it is equal to n+sod(n) for n = 5868091 and 5868100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5868127) 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, 87551 + ... + 87617.

It is an arithmetic number, because the mean of its divisors is an integer number (154224).

Almost surely, 25868128 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 5868128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402752).

5868128 is an abundant number, since it is smaller than the sum of its proper divisors (8937376).

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

5868128 is a wasteful number, since it uses less digits than its factorization.

5868128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its digits is 30720, while the sum is 38.

The square root of 5868128 is about 2422.4219285665. The cubic root of 5868128 is about 180.3709223655.

It can be divided in two parts, 58 and 68128, that added together give a palindrome (68186).

The spelling of 5868128 in words is "five million, eight hundred sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 23 28 32 34 46 56 67 68 92 112 119 134 136 161 184 224 238 268 272 322 368 391 469 476 536 544 644 736 782 938 952 1072 1139 1288 1541 1564 1876 1904 2144 2278 2576 2737 3082 3128 3752 3808 4556 5152 5474 6164 6256 7504 7973 9112 10787 10948 12328 12512 15008 15946 18224 21574 21896 24656 26197 31892 36448 43148 43792 49312 52394 63784 86296 87584 104788 127568 172592 183379 209576 255136 345184 366758 419152 733516 838304 1467032 2934064 5868128