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14397144 = 2333137523
BaseRepresentation
bin110110111010…
…111011011000
31000002110011120
4312322323120
512141202034
61232325240
7233242116
oct66727330
930073146
1014397144
118143873
1249a3820
132ca1128
141caaab6
1513e5c49
hexdbaed8

14397144 has 64 divisors (see below), whose sum is σ = 38231040. Its totient is φ = 4510080.

The previous prime is 14397139. The next prime is 14397157. The reversal of 14397144 is 44179341.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27267 + ... + 27789.

It is an arithmetic number, because the mean of its divisors is an integer number (597360).

Almost surely, 214397144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14397144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19115520).

14397144 is an abundant number, since it is smaller than the sum of its proper divisors (23833896).

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

14397144 is a wasteful number, since it uses less digits than its factorization.

14397144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 596 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 14397144 is about 3794.3568624999. The cubic root of 14397144 is about 243.2719947142.

It can be divided in two parts, 14397 and 144, that added together give a palindrome (14541).

The spelling of 14397144 in words is "fourteen million, three hundred ninety-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 37 62 74 93 111 124 148 186 222 248 296 372 444 523 744 888 1046 1147 1569 2092 2294 3138 3441 4184 4588 6276 6882 9176 12552 13764 16213 19351 27528 32426 38702 48639 58053 64852 77404 97278 116106 129704 154808 194556 232212 389112 464424 599881 1199762 1799643 2399524 3599286 4799048 7198572 14397144