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14383620 = 22325411949
BaseRepresentation
bin110110110111…
…101000000100
31000001202121200
4312313220010
512140233440
61232142500
7233154516
oct66675004
930052550
1014383620
118134699
124997a30
132c97c24
141ca5bb6
1513e1c30
hexdb7a04

14383620 has 72 divisors (see below), whose sum is σ = 44717400. Its totient is φ = 3740160.

The previous prime is 14383619. The next prime is 14383643. The reversal of 14383620 is 2638341.

It is a happy number.

14383620 is a `hidden beast` number, since 1 + 4 + 38 + 3 + 620 = 666.

14383620 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 13793796 = 768^2 + 3714^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6406 + ... + 8354.

It is an arithmetic number, because the mean of its divisors is an integer number (621075).

Almost surely, 214383620 is an apocalyptic number.

14383620 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 14383620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22358700).

14383620 is an abundant number, since it is smaller than the sum of its proper divisors (30333780).

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

14383620 is a wasteful number, since it uses less digits than its factorization.

14383620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 14383620 is about 3792.5743235960. The cubic root of 14383620 is about 243.1957980937.

The spelling of 14383620 in words is "fourteen million, three hundred eighty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 1949 2460 3690 3898 5847 7380 7796 9745 11694 17541 19490 23388 29235 35082 38980 58470 70164 79909 87705 116940 159818 175410 239727 319636 350820 399545 479454 719181 799090 958908 1198635 1438362 1598180 2397270 2876724 3595905 4794540 7191810 14383620