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2601144 = 2332713397
BaseRepresentation
bin1001111011000010111000
311220011002200
421323002320
51131214034
6131430200
731052340
oct11730270
94804080
102601144
111517307
12a55360
13700c50
144b9d20
15365a99
hex27b0b8

2601144 has 96 divisors (see below), whose sum is σ = 8692320. Its totient is φ = 684288.

The previous prime is 2601143. The next prime is 2601149. The reversal of 2601144 is 4411062.

2601144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2601143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6354 + ... + 6750.

It is an arithmetic number, because the mean of its divisors is an integer number (90545).

22601144 is an apocalyptic number.

2601144 is a gapful number since it is divisible by the number (24) 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 2601144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346160).

2601144 is an abundant number, since it is smaller than the sum of its proper divisors (6091176).

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

2601144 is a wasteful number, since it uses less digits than its factorization.

2601144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2601144 is about 1612.8062499879. The cubic root of 2601144 is about 137.5270514269.

It can be divided in two parts, 2601 and 144, that multiplied together give a square (374544 = 6122).

The spelling of 2601144 in words is "two million, six hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 397 468 504 546 728 794 819 936 1092 1191 1588 1638 2184 2382 2779 3176 3276 3573 4764 5161 5558 6552 7146 8337 9528 10322 11116 14292 15483 16674 20644 22232 25011 28584 30966 33348 36127 41288 46449 50022 61932 66696 72254 92898 100044 108381 123864 144508 185796 200088 216762 289016 325143 371592 433524 650286 867048 1300572 2601144