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5336000 = 26532329
BaseRepresentation
bin10100010110101111000000
3101001002121122
4110112233000
52331223000
6310211412
763232565
oct24265700
911032548
105336000
11301501a
121953b68
13114a9c7
149cc86c
15706085
hex516bc0

5336000 has 112 divisors (see below), whose sum is σ = 14264640. Its totient is φ = 1971200.

The previous prime is 5335991. The next prime is 5336003. The reversal of 5336000 is 6335.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5336000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5336003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183986 + ... + 184014.

Almost surely, 25336000 is an apocalyptic number.

5336000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5336000 is the 1334-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132320).

5336000 is an abundant number, since it is smaller than the sum of its proper divisors (8928640).

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

5336000 is a wasteful number, since it uses less digits than its factorization.

5336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 5336000 is about 2309.9783548769. The cubic root of 5336000 is about 174.7452074442.

The spelling of 5336000 in words is "five million, three hundred thirty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 29 32 40 46 50 58 64 80 92 100 115 116 125 145 160 184 200 230 232 250 290 320 368 400 460 464 500 575 580 667 725 736 800 920 928 1000 1150 1160 1334 1450 1472 1600 1840 1856 2000 2300 2320 2668 2875 2900 3335 3625 3680 4000 4600 4640 5336 5750 5800 6670 7250 7360 8000 9200 9280 10672 11500 11600 13340 14500 16675 18400 21344 23000 23200 26680 29000 33350 36800 42688 46000 46400 53360 58000 66700 83375 92000 106720 116000 133400 166750 184000 213440 232000 266800 333500 533600 667000 1067200 1334000 2668000 5336000