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5997024 = 253311631
BaseRepresentation
bin10110111000000111100000
3102021200101000
4112320013200
53013401044
6332312000
7101655015
oct26700740
912250330
105997024
113426720
122012600
13131c847
14b2170c
157d6d69
hex5b81e0

5997024 has 96 divisors (see below), whose sum is σ = 19111680. Its totient is φ = 1814400.

The previous prime is 5997001. The next prime is 5997031. The reversal of 5997024 is 4207995.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 57 + 92 + 94 + 78 + 0 + 217 + 47 .

It is a self number, because there is not a number n which added to its sum of digits gives 5997024.

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, 9189 + ... + 9819.

It is an arithmetic number, because the mean of its divisors is an integer number (199080).

Almost surely, 25997024 is an apocalyptic number.

5997024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5997024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9555840).

5997024 is an abundant number, since it is smaller than the sum of its proper divisors (13114656).

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

5997024 is a wasteful number, since it uses less digits than its factorization.

5997024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 5997024 is about 2448.8821939816. The cubic root of 5997024 is about 181.6820112543.

The spelling of 5997024 in words is "five million, nine hundred ninety-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 631 792 864 1056 1188 1262 1584 1893 2376 2524 3168 3786 4752 5048 5679 6941 7572 9504 10096 11358 13882 15144 17037 20192 20823 22716 27764 30288 34074 41646 45432 55528 60576 62469 68148 83292 90864 111056 124938 136296 166584 181728 187407 222112 249876 272592 333168 374814 499752 545184 666336 749628 999504 1499256 1999008 2998512 5997024