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5997888 = 26341389
BaseRepresentation
bin10110111000010101000000
3102021201120000
4112320111000
53013413023
6332320000
7101660361
oct26702500
912251500
105997888
113427336
122013000
131320060
14b21b68
157d7243
hex5b8540

5997888 has 140 divisors (see below), whose sum is σ = 19362420. Its totient is φ = 1824768.

The previous prime is 5997883. The next prime is 5997919. The reversal of 5997888 is 8887995.

It can be written as a sum of positive squares in 2 ways, for example, as 1016064 + 4981824 = 1008^2 + 2232^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1451520) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5997883) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67348 + ... + 67436.

It is an arithmetic number, because the mean of its divisors is an integer number (138303).

Almost surely, 25997888 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 5997888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9681210).

5997888 is an abundant number, since it is smaller than the sum of its proper divisors (13364532).

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

5997888 is a wasteful number, since it uses less digits than its factorization.

5997888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The square root of 5997888 is about 2449.0585946441. The cubic root of 5997888 is about 181.6907358995.

The spelling of 5997888 in words is "five million, nine hundred ninety-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 89 96 104 108 117 144 156 162 178 192 208 216 234 267 288 312 324 351 356 416 432 468 534 576 624 648 702 712 801 832 864 936 1053 1068 1157 1248 1296 1404 1424 1602 1728 1872 2106 2136 2314 2403 2496 2592 2808 2848 3204 3471 3744 4212 4272 4628 4806 5184 5616 5696 6408 6942 7209 7488 8424 8544 9256 9612 10413 11232 12816 13884 14418 16848 17088 18512 19224 20826 22464 25632 27768 28836 31239 33696 37024 38448 41652 51264 55536 57672 62478 67392 74048 76896 83304 93717 111072 115344 124956 153792 166608 187434 222144 230688 249912 333216 374868 461376 499824 666432 749736 999648 1499472 1999296 2998944 5997888