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2405453140 = 225298774729
BaseRepresentation
bin1000111101100000…
…0100110101010100
320012122021200101001
42033120010311110
514411244000030
61034405113044
7113416004626
oct21730046524
96178250331
102405453140
1110248a7602
125716b8784
132c4477a6c
1418b67cc16
15e12a1cca
hex8f604d54

2405453140 has 48 divisors (see below), whose sum is σ = 5232704400. Its totient is φ = 927747072.

The previous prime is 2405453119. The next prime is 2405453147. The reversal of 2405453140 is 413545042.

It can be written as a sum of positive squares in 8 ways, for example, as 86452804 + 2319000336 = 9298^2 + 48156^2 .

It is a super-3 number, since 3×24054531403 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2405453099 and 2405453108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405453147) 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, 506296 + ... + 511024.

It is an arithmetic number, because the mean of its divisors is an integer number (109014675).

Almost surely, 22405453140 is an apocalyptic number.

2405453140 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 2405453140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616352200).

2405453140 is an abundant number, since it is smaller than the sum of its proper divisors (2827251260).

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

2405453140 is a wasteful number, since it uses less digits than its factorization.

2405453140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5644 (or 5642 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2405453140 is about 49045.4191540861. The cubic root of 2405453140 is about 1339.8791641242.

Adding to 2405453140 its reverse (413545042), we get a palindrome (2818998182).

The spelling of 2405453140 in words is "two billion, four hundred five million, four hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 877 1754 3508 4385 4729 8770 9458 17540 18916 23645 25433 47290 50866 94580 101732 127165 137141 254330 274282 508660 548564 685705 1371410 2742820 4147333 8294666 16589332 20736665 41473330 82946660 120272657 240545314 481090628 601363285 1202726570 2405453140