[go: up one dir, main page]

Search a number
-
+
6018272 = 2513172337
BaseRepresentation
bin10110111101010011100000
3102022202111222
4112331103200
53020041042
6332554212
7102103661
oct26752340
912282458
106018272
113440687
122022968
131329410
14b29368
157dd2d2
hex5bd4e0

6018272 has 96 divisors (see below), whose sum is σ = 14478912. Its totient is φ = 2433024.

The previous prime is 6018263. The next prime is 6018277. The reversal of 6018272 is 2728106.

It is a super-3 number, since 3×60182723 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6018277) 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, 162638 + ... + 162674.

It is an arithmetic number, because the mean of its divisors is an integer number (150822).

Almost surely, 26018272 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 6018272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239456).

6018272 is an abundant number, since it is smaller than the sum of its proper divisors (8460640).

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

6018272 is a wasteful number, since it uses less digits than its factorization.

6018272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 6018272 is about 2453.2166638925. The cubic root of 6018272 is about 181.8963302845.

The spelling of 6018272 in words is "six million, eighteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 17 23 26 32 34 37 46 52 68 74 92 104 136 148 184 208 221 272 296 299 368 391 416 442 481 544 592 598 629 736 782 851 884 962 1184 1196 1258 1564 1702 1768 1924 2392 2516 3128 3404 3536 3848 4784 5032 5083 6256 6808 7072 7696 8177 9568 10064 10166 11063 12512 13616 14467 15392 16354 20128 20332 22126 27232 28934 32708 40664 44252 57868 65416 81328 88504 115736 130832 162656 177008 188071 231472 261664 354016 376142 462944 752284 1504568 3009136 6018272