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14742364 = 22713101401
BaseRepresentation
bin111000001111…
…001101011100
31000201222201111
4320033031130
512233223424
61243551404
7236210440
oct70171534
930658644
1014742364
11835a17a
124b2b564
1330922c0
141d5a820
151463194
hexe0f35c

14742364 has 48 divisors (see below), whose sum is σ = 32147136. Its totient is φ = 5760000.

The previous prime is 14742361. The next prime is 14742373. The reversal of 14742364 is 46324741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14742361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36564 + ... + 36964.

It is an arithmetic number, because the mean of its divisors is an integer number (669732).

Almost surely, 214742364 is an apocalyptic number.

14742364 is a gapful number since it is divisible by the number (14) 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 14742364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16073568).

14742364 is an abundant number, since it is smaller than the sum of its proper divisors (17404772).

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

14742364 is a wasteful number, since it uses less digits than its factorization.

14742364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 524 counting only the distinct ones).

The product of its digits is 16128, while the sum is 31.

The square root of 14742364 is about 3839.5786227137. The cubic root of 14742364 is about 245.2010788495.

The spelling of 14742364 in words is "fourteen million, seven hundred forty-two thousand, three hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 101 182 202 364 401 404 707 802 1313 1414 1604 2626 2807 2828 5213 5252 5614 9191 10426 11228 18382 20852 36491 36764 40501 72982 81002 145964 162004 283507 526513 567014 1053026 1134028 2106052 3685591 7371182 14742364