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5998144 = 261737149
BaseRepresentation
bin10110111000011001000000
3102021201220111
4112320121000
53013420034
6332321104
7101661205
oct26703100
912251814
105998144
113427549
122013194
1313201c9
14b21cac
157d7364
hex5b8640

5998144 has 56 divisors (see below), whose sum is σ = 13030200. Its totient is φ = 2727936.

The previous prime is 5998141. The next prime is 5998171. The reversal of 5998144 is 4418995.

It can be written as a sum of positive squares in 4 ways, for example, as 1638400 + 4359744 = 1280^2 + 2088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5998097 and 5998106.

It is not an unprimeable number, because it can be changed into a prime (5998141) 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, 40182 + ... + 40330.

Almost surely, 25998144 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 5998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6515100).

5998144 is an abundant number, since it is smaller than the sum of its proper divisors (7032056).

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

5998144 is a wasteful number, since it uses less digits than its factorization.

5998144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its digits is 51840, while the sum is 40.

The square root of 5998144 is about 2449.1108590670. The cubic root of 5998144 is about 181.6933208186.

It can be divided in two parts, 59981 and 44, that added together give a square (60025 = 2452).

The spelling of 5998144 in words is "five million, nine hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 136 148 149 272 296 298 544 592 596 629 1088 1184 1192 1258 2368 2384 2516 2533 4768 5032 5066 5513 9536 10064 10132 11026 20128 20264 22052 40256 40528 44104 81056 88208 93721 162112 176416 187442 352832 374884 749768 1499536 2999072 5998144