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14839416 = 23332329103
BaseRepresentation
bin111000100110…
…111001111000
31000220220212000
4320212321320
512244330131
61250021000
7240063414
oct70467170
930826760
1014839416
118416089
124b77760
1330c7527
141d83d44
151481ce6
hexe26e78

14839416 has 128 divisors (see below), whose sum is σ = 44928000. Its totient is φ = 4523904.

The previous prime is 14839411. The next prime is 14839423. The reversal of 14839416 is 61493841.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14839411) 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 31 ways as a sum of consecutive naturals, for example, 144021 + ... + 144123.

It is an arithmetic number, because the mean of its divisors is an integer number (351000).

Almost surely, 214839416 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 14839416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22464000).

14839416 is an abundant number, since it is smaller than the sum of its proper divisors (30088584).

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

14839416 is a wasteful number, since it uses less digits than its factorization.

14839416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 14839416 is about 3852.1962566827. The cubic root of 14839416 is about 245.7379720399.

The spelling of 14839416 in words is "fourteen million, eight hundred thirty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 29 36 46 54 58 69 72 87 92 103 108 116 138 174 184 206 207 216 232 261 276 309 348 412 414 522 552 618 621 667 696 783 824 828 927 1044 1236 1242 1334 1566 1656 1854 2001 2088 2369 2472 2484 2668 2781 2987 3132 3708 4002 4738 4968 5336 5562 5974 6003 6264 7107 7416 8004 8961 9476 11124 11948 12006 14214 16008 17922 18009 18952 21321 22248 23896 24012 26883 28428 35844 36018 42642 48024 53766 56856 63963 68701 71688 72036 80649 85284 107532 127926 137402 144072 161298 170568 206103 215064 255852 274804 322596 412206 511704 549608 618309 645192 824412 1236618 1648824 1854927 2473236 3709854 4946472 7419708 14839416