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5314176 = 27327659
BaseRepresentation
bin10100010001011010000000
3100222222200100
4110101122000
52330023201
6305522400
763112140
oct24213200
910888610
105314176
112aaa68a
121943400
131140aaa
149c4920
156ee886
hex511680

5314176 has 96 divisors (see below), whose sum is σ = 17503200. Its totient is φ = 1516032.

The previous prime is 5314171. The next prime is 5314201. The reversal of 5314176 is 6714135.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5314171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7735 + ... + 8393.

It is an arithmetic number, because the mean of its divisors is an integer number (182325).

Almost surely, 25314176 is an apocalyptic number.

5314176 is a gapful number since it is divisible by the number (56) 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 5314176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8751600).

5314176 is an abundant number, since it is smaller than the sum of its proper divisors (12189024).

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

5314176 is a wasteful number, since it uses less digits than its factorization.

5314176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 671 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 5314176 is about 2305.2496610996. The cubic root of 5314176 is about 174.5066485700.

The spelling of 5314176 in words is "five million, three hundred fourteen thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 659 672 896 1008 1152 1318 1344 1977 2016 2636 2688 3954 4032 4613 5272 5931 7908 8064 9226 10544 11862 13839 15816 18452 21088 23724 27678 31632 36904 41517 42176 47448 55356 63264 73808 83034 84352 94896 110712 126528 147616 166068 189792 221424 253056 295232 332136 379584 442848 590464 664272 759168 885696 1328544 1771392 2657088 5314176