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14401842 = 2371322029
BaseRepresentation
bin110110111100…
…000100110010
31000002200121120
4312330010302
512141324332
61232403110
7233261610
oct66740462
930080546
1014401842
118147354
1249a6496
132ca3300
141cac6b0
1513e732c
hexdbc132

14401842 has 48 divisors (see below), whose sum is σ = 35663040. Its totient is φ = 3796416.

The previous prime is 14401837. The next prime is 14401847. The reversal of 14401842 is 24810441.

14401842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14401837) and next prime (14401847).

It is not an unprimeable number, because it can be changed into a prime (14401847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6084 + ... + 8112.

It is an arithmetic number, because the mean of its divisors is an integer number (742980).

Almost surely, 214401842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14401842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17831520).

14401842 is an abundant number, since it is smaller than the sum of its proper divisors (21261198).

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

14401842 is a wasteful number, since it uses less digits than its factorization.

14401842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 14401842 is about 3794.9758892515. The cubic root of 14401842 is about 243.2984529141.

It can be divided in two parts, 14 and 401842, that added together give a triangular number (401856 = T896).

The spelling of 14401842 in words is "fourteen million, four hundred one thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 273 338 507 546 1014 1183 2029 2366 3549 4058 6087 7098 12174 14203 26377 28406 42609 52754 79131 85218 158262 184639 342901 369278 553917 685802 1028703 1107834 2057406 2400307 4800614 7200921 14401842