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14800104 = 2333116229
BaseRepresentation
bin111000011101…
…010011101000
31000211220221000
4320131103220
512242100404
61245115000
7236540664
oct70352350
930756830
1014800104
1183995a0
124b58a60
1330b2677
141d738a4
151475339
hexe1d4e8

14800104 has 64 divisors (see below), whose sum is σ = 44856000. Its totient is φ = 4484160.

The previous prime is 14800103. The next prime is 14800141. The reversal of 14800104 is 40100841.

14800104 = 1982 + 1992 + ... + 3732.

14800104 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 is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14800103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739 + ... + 5490.

It is an arithmetic number, because the mean of its divisors is an integer number (700875).

Almost surely, 214800104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14800104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22428000).

14800104 is an abundant number, since it is smaller than the sum of its proper divisors (30055896).

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

14800104 is a wasteful number, since it uses less digits than its factorization.

14800104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6255 (or 6245 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 14800104 is about 3847.0903290669. The cubic root of 14800104 is about 245.5207803295.

14800104 divided by its sum of digits (18) gives a palindrome (822228).

Adding to 14800104 its reverse (40100841), we get a palindrome (54900945).

The spelling of 14800104 in words is "fourteen million, eight hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 6229 12458 18687 24916 37374 49832 56061 68519 74748 112122 137038 149496 168183 205557 224244 274076 336366 411114 448488 548152 616671 672732 822228 1233342 1345464 1644456 1850013 2466684 3700026 4933368 7400052 14800104