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14401872 = 2432103971
BaseRepresentation
bin110110111100…
…000101010000
31000002200122200
4312330011100
512141324442
61232403200
7233261652
oct66740520
930080580
1014401872
118147381
1249a6500
132ca3324
141cac6d2
1513e734c
hexdbc150

14401872 has 60 divisors (see below), whose sum is σ = 40738464. Its totient is φ = 4749120.

The previous prime is 14401859. The next prime is 14401883. The reversal of 14401872 is 27810441.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14347 + ... + 15317.

Almost surely, 214401872 is an apocalyptic number.

14401872 is a gapful number since it is divisible by the number (12) 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 14401872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20369232).

14401872 is an abundant number, since it is smaller than the sum of its proper divisors (26336592).

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

14401872 is a wasteful number, since it uses less digits than its factorization.

14401872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 14401872 is about 3794.9798418437. The cubic root of 14401872 is about 243.2986218496.

The spelling of 14401872 in words is "fourteen million, four hundred one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 206 309 412 618 824 927 971 1236 1648 1854 1942 2472 2913 3708 3884 4944 5826 7416 7768 8739 11652 14832 15536 17478 23304 34956 46608 69912 100013 139824 200026 300039 400052 600078 800104 900117 1200156 1600208 1800234 2400312 3600468 4800624 7200936 14401872