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5365000 = 23542937
BaseRepresentation
bin10100011101110100001000
3101002120101201
4110131310020
52333140000
6310553544
763413254
oct24356410
911076351
105365000
113034893
1219688b4
13115ac74
149d9264
1570e96a
hex51dd08

5365000 has 80 divisors (see below), whose sum is σ = 13355100. Its totient is φ = 2016000.

The previous prime is 5364991. The next prime is 5365001. The reversal of 5365000 is 5635.

It can be written as a sum of positive squares in 10 ways, for example, as 10404 + 5354596 = 102^2 + 2314^2 .

It is not an unprimeable number, because it can be changed into a prime (5365001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144982 + ... + 145018.

Almost surely, 25365000 is an apocalyptic number.

5365000 is a gapful number since it is divisible by the number (50) 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 5365000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6677550).

5365000 is an abundant number, since it is smaller than the sum of its proper divisors (7990100).

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

5365000 is a wasteful number, since it uses less digits than its factorization.

5365000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 5365000 is about 2316.2469643801. The cubic root of 5365000 is about 175.0612030826.

The spelling of 5365000 in words is "five million, three hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 29 37 40 50 58 74 100 116 125 145 148 185 200 232 250 290 296 370 500 580 625 725 740 925 1000 1073 1160 1250 1450 1480 1850 2146 2500 2900 3625 3700 4292 4625 5000 5365 5800 7250 7400 8584 9250 10730 14500 18125 18500 21460 23125 26825 29000 36250 37000 42920 46250 53650 72500 92500 107300 134125 145000 185000 214600 268250 536500 670625 1073000 1341250 2682500 5365000