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2381120 = 26571063
BaseRepresentation
bin1001000101010101000000
311110222021122
421011111000
51102143440
6123011412
726145020
oct11052500
94428248
102381120
111386a75
12969b68
13654a61
1445da80
153207b5
hex245540

2381120 has 56 divisors (see below), whose sum is σ = 6486144. Its totient is φ = 815616.

The previous prime is 2381117. The next prime is 2381143. The reversal of 2381120 is 211832.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1709 + ... + 2771.

It is an arithmetic number, because the mean of its divisors is an integer number (115824).

22381120 is an apocalyptic number.

2381120 is a gapful number since it is divisible by the number (20) 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 2381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243072).

2381120 is an abundant number, since it is smaller than the sum of its proper divisors (4105024).

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

2381120 is a wasteful number, since it uses less digits than its factorization.

2381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2381120 is about 1543.0878134442. The cubic root of 2381120 is about 133.5345849694.

Adding to 2381120 its reverse (211832), we get a palindrome (2592952).

The spelling of 2381120 in words is "two million, three hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1063 1120 2126 2240 4252 5315 7441 8504 10630 14882 17008 21260 29764 34016 37205 42520 59528 68032 74410 85040 119056 148820 170080 238112 297640 340160 476224 595280 1190560 2381120