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2401260 = 2235311291
BaseRepresentation
bin1001001010001111101100
311111222220120
421022033230
51103320020
6123244540
726260521
oct11121754
94458816
102401260
1113a0114
12979750
13660c84
14467148
15326740
hex24a3ec

2401260 has 48 divisors (see below), whose sum is σ = 6945792. Its totient is φ = 619200.

The previous prime is 2401253. The next prime is 2401261. The reversal of 2401260 is 621042.

2401260 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 (15).

It is not an unprimeable number, because it can be changed into a prime (2401261) 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 15 ways as a sum of consecutive naturals, for example, 1215 + ... + 2505.

It is an arithmetic number, because the mean of its divisors is an integer number (144704).

22401260 is an apocalyptic number.

2401260 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 2401260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472896).

2401260 is an abundant number, since it is smaller than the sum of its proper divisors (4544532).

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

2401260 is a wasteful number, since it uses less digits than its factorization.

2401260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2401260 is about 1549.5999483738. The cubic root of 2401260 is about 133.9100160706.

The spelling of 2401260 in words is "two million, four hundred one thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1291 1860 2582 3873 5164 6455 7746 12910 15492 19365 25820 38730 40021 77460 80042 120063 160084 200105 240126 400210 480252 600315 800420 1200630 2401260