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5106336 = 253431237
BaseRepresentation
bin10011011110101010100000
3100121102120120
4103132222200
52301400321
6301240240
761255164
oct23365240
910542516
105106336
112978514
121863080
13109a301
1496cca4
156acec6
hex4deaa0

5106336 has 48 divisors (see below), whose sum is σ = 13726944. Its totient is φ = 1661184.

The previous prime is 5106319. The next prime is 5106347. The reversal of 5106336 is 6336015.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3510 + ... + 4746.

It is an arithmetic number, because the mean of its divisors is an integer number (285978).

Almost surely, 25106336 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 5106336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863472).

5106336 is an abundant number, since it is smaller than the sum of its proper divisors (8620608).

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

5106336 is a wasteful number, since it uses less digits than its factorization.

5106336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 5106336 is about 2259.7203366789. The cubic root of 5106336 is about 172.2013146701.

The spelling of 5106336 in words is "five million, one hundred six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1237 1376 2064 2474 3711 4128 4948 7422 9896 14844 19792 29688 39584 53191 59376 106382 118752 159573 212764 319146 425528 638292 851056 1276584 1702112 2553168 5106336