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14311620 = 22335171559
BaseRepresentation
bin110110100110…
…000011000100
3222221002212000
4312212003010
512130432440
61230425300
7232434561
oct66460304
928832760
1014311620
118095594
124962230
132c7121b
141c87868
1513ca730
hexda60c4

14311620 has 96 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 3589632.

The previous prime is 14311601. The next prime is 14311621. The reversal of 14311620 is 2611341.

It is a happy number.

14311620 is a `hidden beast` number, since 1 + 43 + 1 + 1 + 620 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14311593 and 14311602.

It is not an unprimeable number, because it can be changed into a prime (14311621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8401 + ... + 9959.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 214311620 is an apocalyptic number.

14311620 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 14311620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

14311620 is an abundant number, since it is smaller than the sum of its proper divisors (32862780).

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

14311620 is a wasteful number, since it uses less digits than its factorization.

14311620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14311620 is about 3783.0701817439. The cubic root of 14311620 is about 242.7893312071.

Adding to 14311620 its reverse (2611341), we get a palindrome (16922961).

The spelling of 14311620 in words is "fourteen million, three hundred eleven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1559 1836 2295 3060 3118 4590 4677 6236 7795 9180 9354 14031 15590 18708 23385 26503 28062 31180 42093 46770 53006 56124 70155 79509 84186 93540 106012 132515 140310 159018 168372 210465 238527 265030 280620 318036 397545 420930 477054 530060 715581 795090 841860 954108 1192635 1431162 1590180 2385270 2862324 3577905 4770540 7155810 14311620