[go: up one dir, main page]

Search a number
-
+
6014112 = 253136179
BaseRepresentation
bin10110111100010010100000
3102022112210220
4112330102200
53014422422
6332523040
7102055566
oct26742240
912275726
106014112
113438545
122020480
131327560
14b27a36
157dbe5c
hex5bc4a0

6014112 has 96 divisors (see below), whose sum is σ = 17498880. Its totient is φ = 1797120.

The previous prime is 6014111. The next prime is 6014117. The reversal of 6014112 is 2114106.

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

It is a junction number, because it is equal to n+sod(n) for n = 6014091 and 6014100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6014111) 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, 76089 + ... + 76167.

It is an arithmetic number, because the mean of its divisors is an integer number (182280).

Almost surely, 26014112 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 6014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749440).

6014112 is an abundant number, since it is smaller than the sum of its proper divisors (11484768).

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

6014112 is a wasteful number, since it uses less digits than its factorization.

6014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 6014112 is about 2452.3686509169. The cubic root of 6014112 is about 181.8544099930.

Adding to 6014112 its reverse (2114106), we get a palindrome (8128218).

The spelling of 6014112 in words is "six million, fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 78 79 96 104 122 156 158 183 208 237 244 312 316 366 416 474 488 624 632 732 793 948 976 1027 1248 1264 1464 1586 1896 1952 2054 2379 2528 2928 3081 3172 3792 4108 4758 4819 5856 6162 6344 7584 8216 9516 9638 12324 12688 14457 16432 19032 19276 24648 25376 28914 32864 38064 38552 49296 57828 62647 76128 77104 98592 115656 125294 154208 187941 231312 250588 375882 462624 501176 751764 1002352 1503528 2004704 3007056 6014112