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18140416 = 28753191
BaseRepresentation
bin100010100110…
…0110100000000
31021010121222021
41011030310000
514120443131
61444451224
7310122340
oct105146400
937117867
1018140416
11a270188
1260a9b14
1339b1b98
1425a2d20
1518d4e11
hex114cd00

18140416 has 72 divisors (see below), whose sum is σ = 42384384. Its totient is φ = 7587840.

The previous prime is 18140413. The next prime is 18140431. The reversal of 18140416 is 61404181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18140413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94881 + ... + 95071.

It is an arithmetic number, because the mean of its divisors is an integer number (588672).

Almost surely, 218140416 is an apocalyptic number.

18140416 is a gapful number since it is divisible by the number (16) 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 18140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21192192).

18140416 is an abundant number, since it is smaller than the sum of its proper divisors (24243968).

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

18140416 is an equidigital number, since it uses as much as digits as its factorization.

18140416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 18140416 is about 4259.1567240476. The cubic root of 18140416 is about 262.7538454499.

Adding to 18140416 its reverse (61404181), we get a palindrome (79544597).

The spelling of 18140416 in words is "eighteen million, one hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 191 212 224 256 371 382 424 448 742 764 848 896 1337 1484 1528 1696 1792 2674 2968 3056 3392 5348 5936 6112 6784 10123 10696 11872 12224 13568 20246 21392 23744 24448 40492 42784 47488 48896 70861 80984 85568 94976 141722 161968 171136 283444 323936 342272 566888 647872 1133776 1295744 2267552 2591488 4535104 9070208 18140416