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14123808 = 25345449
BaseRepresentation
bin110101111000…
…001100100000
3222120120020000
4311320030200
512103430213
61222420000
7231023166
oct65701440
928516200
1014123808
117a77476
124891600
132c068aa
141c39236
15138ec73
hexd78320

14123808 has 60 divisors (see below), whose sum is σ = 41545350. Its totient is φ = 4707072.

The previous prime is 14123779. The next prime is 14123819. The reversal of 14123808 is 80832141.

It can be written as a sum of positive squares in only one way, i.e., 13749264 + 374544 = 3708^2 + 612^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 133 + ... + 5316.

Almost surely, 214123808 is an apocalyptic number.

14123808 is a gapful number since it is divisible by the number (18) 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 14123808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20772675).

14123808 is an abundant number, since it is smaller than the sum of its proper divisors (27421542).

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

14123808 is an equidigital number, since it uses as much as digits as its factorization.

14123808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 14123808 is about 3758.1655099264. The cubic root of 14123808 is about 241.7226063660.

Adding to 14123808 its reverse (80832141), we get a palindrome (94955949).

The spelling of 14123808 in words is "fourteen million, one hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 5449 10898 16347 21796 32694 43592 49041 65388 87184 98082 130776 147123 174368 196164 261552 294246 392328 441369 523104 588492 784656 882738 1176984 1569312 1765476 2353968 3530952 4707936 7061904 14123808