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14151820 = 22517107389
BaseRepresentation
bin110101111111…
…000010001100
3222121222122111
4311333002030
512110324240
61223153404
7231200644
oct65770214
928558574
1014151820
117a96521
1248a5864
132c16577
141c45524
1513981ea
hexd7f08c

14151820 has 48 divisors (see below), whose sum is σ = 31842720. Its totient is φ = 5264384.

The previous prime is 14151811. The next prime is 14151833. The reversal of 14151820 is 2815141.

It is a junction number, because it is equal to n+sod(n) for n = 14151791 and 14151800.

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 15 ways as a sum of consecutive naturals, for example, 36186 + ... + 36574.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 214151820 is an apocalyptic number.

14151820 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 14151820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921360).

14151820 is an abundant number, since it is smaller than the sum of its proper divisors (17690900).

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

14151820 is a wasteful number, since it uses less digits than its factorization.

14151820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 14151820 is about 3761.8904821911. The cubic root of 14151820 is about 241.8823050851.

Adding to 14151820 its reverse (2815141), we get a palindrome (16966961).

The spelling of 14151820 in words is "fourteen million, one hundred fifty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 107 170 214 340 389 428 535 778 1070 1556 1819 1945 2140 3638 3890 6613 7276 7780 9095 13226 18190 26452 33065 36380 41623 66130 83246 132260 166492 208115 416230 707591 832460 1415182 2830364 3537955 7075910 14151820