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14130048 = 273311187
BaseRepresentation
bin110101111001…
…101110000000
3222120212210010
4311321232000
512104130143
61222504520
7231050322
oct65715600
928525703
1014130048
117a81129
124895140
132c0969a
141c3b612
151391a33
hexd79b80

14130048 has 64 divisors (see below), whose sum is σ = 38776320. Its totient is φ = 4554240.

The previous prime is 14130029. The next prime is 14130049. The reversal of 14130048 is 84003141.

14130048 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 tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14130049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11311 + ... + 12497.

It is an arithmetic number, because the mean of its divisors is an integer number (605880).

Almost surely, 214130048 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 14130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19388160).

14130048 is an abundant number, since it is smaller than the sum of its proper divisors (24646272).

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

14130048 is a wasteful number, since it uses less digits than its factorization.

14130048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 14130048 is about 3758.9956105322. The cubic root of 14130048 is about 241.7581993870.

Adding to 14130048 its reverse (84003141), we get a palindrome (98133189).

The spelling of 14130048 in words is "fourteen million, one hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1187 1488 1984 2374 2976 3561 3968 4748 5952 7122 9496 11904 14244 18992 28488 36797 37984 56976 73594 75968 110391 113952 147188 151936 220782 227904 294376 441564 455808 588752 883128 1177504 1766256 2355008 3532512 4710016 7065024 14130048