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5274000 = 243253293
BaseRepresentation
bin10100000111100110010000
3100220221120100
4110013212100
52322232000
6305012400
762554044
oct24074620
910827510
105274000
112a82486
121924100
131128714
149b4024
156e2a00
hex507990

5274000 has 120 divisors (see below), whose sum is σ = 18483192. Its totient is φ = 1401600.

The previous prime is 5273981. The next prime is 5274007. The reversal of 5274000 is 4725.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 5253264 = 144^2 + 2292^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5274007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17854 + ... + 18146.

Almost surely, 25274000 is an apocalyptic number.

5274000 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 5274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241596).

5274000 is an abundant number, since it is smaller than the sum of its proper divisors (13209192).

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

5274000 is a wasteful number, since it uses less digits than its factorization.

5274000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 5274000 is about 2296.5191050806. The cubic root of 5274000 is about 174.0657698256.

Adding to 5274000 its reverse (4725), we get a palindrome (5278725).

The spelling of 5274000 in words is "five million, two hundred seventy-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 293 300 360 375 400 450 500 586 600 720 750 879 900 1000 1125 1172 1200 1465 1500 1758 1800 2000 2250 2344 2637 2930 3000 3516 3600 4395 4500 4688 5274 5860 6000 7032 7325 8790 9000 10548 11720 13185 14064 14650 17580 18000 21096 21975 23440 26370 29300 35160 36625 42192 43950 52740 58600 65925 70320 73250 87900 105480 109875 117200 131850 146500 175800 210960 219750 263700 293000 329625 351600 439500 527400 586000 659250 879000 1054800 1318500 1758000 2637000 5274000