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14404140 = 22325431861
BaseRepresentation
bin110110111100…
…101000101100
31000002210202200
4312330220230
512141413030
61232421500
7233301402
oct66745054
930083680
1014404140
118149053
1249a7890
132ca437a
141cad472
1513e7d60
hexdbca2c

14404140 has 72 divisors (see below), whose sum is σ = 44732688. Its totient is φ = 3749760.

The previous prime is 14404123. The next prime is 14404189. The reversal of 14404140 is 4140441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6810 + ... + 8670.

Almost surely, 214404140 is an apocalyptic number.

14404140 is a gapful number since it is divisible by the number (10) 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 14404140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22366344).

14404140 is an abundant number, since it is smaller than the sum of its proper divisors (30328548).

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

14404140 is a wasteful number, since it uses less digits than its factorization.

14404140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 14404140 is about 3795.2786458968. The cubic root of 14404140 is about 243.3113926966.

Adding to 14404140 its reverse (4140441), we get a palindrome (18544581).

The spelling of 14404140 in words is "fourteen million, four hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1861 1935 2580 3722 3870 5583 7444 7740 9305 11166 16749 18610 22332 27915 33498 37220 55830 66996 80023 83745 111660 160046 167490 240069 320092 334980 400115 480138 720207 800230 960276 1200345 1440414 1600460 2400690 2880828 3601035 4801380 7202070 14404140