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14145504 = 253295081
BaseRepresentation
bin110101111101…
…011111100000
3222121122222120
4311331133200
512110124004
61223104240
7231143352
oct65753740
928548876
1014145504
117a917aa
1248a2080
132c13729
141c430d2
1513963d9
hexd7d7e0

14145504 has 48 divisors (see below), whose sum is σ = 38419920. Its totient is φ = 4551680.

The previous prime is 14145499. The next prime is 14145539. The reversal of 14145504 is 40554141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244 + ... + 5324.

It is an arithmetic number, because the mean of its divisors is an integer number (800415).

Almost surely, 214145504 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 14145504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19209960).

14145504 is an abundant number, since it is smaller than the sum of its proper divisors (24274416).

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

14145504 is a wasteful number, since it uses less digits than its factorization.

14145504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5123 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 14145504 is about 3761.0509169646. The cubic root of 14145504 is about 241.8463154628.

Adding to 14145504 its reverse (40554141), we get a palindrome (54699645).

The spelling of 14145504 in words is "fourteen million, one hundred forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 5081 10162 15243 20324 30486 40648 60972 81296 121944 147349 162592 243888 294698 442047 487776 589396 884094 1178792 1768188 2357584 3536376 4715168 7072752 14145504