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104311424 = 277472477
BaseRepresentation
bin1100011011110…
…10101010000000
321021021120101002
412031322222000
5203200431144
614203431132
72404426640
oct615725200
9237246332
10104311424
1153976798
122ab254a8
13187c3049
14dbd4520
15925714e
hex637aa80

104311424 has 64 divisors (see below), whose sum is σ = 242645760. Its totient is φ = 43736064.

The previous prime is 104311409. The next prime is 104311433. The reversal of 104311424 is 424113401.

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

It is a junction number, because it is equal to n+sod(n) for n = 104311396 and 104311405.

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, 40874 + ... + 43350.

It is an arithmetic number, because the mean of its divisors is an integer number (3791340).

Almost surely, 2104311424 is an apocalyptic number.

104311424 is a gapful number since it is divisible by the number (14) 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 104311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121322880).

104311424 is an abundant number, since it is smaller than the sum of its proper divisors (138334336).

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

104311424 is an equidigital number, since it uses as much as digits as its factorization.

104311424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 104311424 is about 10213.2964316131. The cubic root of 104311424 is about 470.7358685423.

Adding to 104311424 its reverse (424113401), we get a palindrome (528424825).

The spelling of 104311424 in words is "one hundred four million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 329 376 448 658 752 896 1316 1504 2477 2632 3008 4954 5264 6016 9908 10528 17339 19816 21056 34678 39632 42112 69356 79264 116419 138712 158528 232838 277424 317056 465676 554848 814933 931352 1109696 1629866 1862704 2219392 3259732 3725408 6519464 7450816 13038928 14901632 26077856 52155712 104311424