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1427274000 = 24335326431
BaseRepresentation
bin101010100010010…
…0111100100010000
310200110200000212000
41111010213210100
510410340232000
6353343234000
750240425455
oct12504474420
93613600760
101427274000
11672728099
12339ba8900
1319990aa39
14d77b182c
1585481000
hex55127910

1427274000 has 160 divisors (see below), whose sum is σ = 5113006080. Its totient is φ = 380592000.

The previous prime is 1427273971. The next prime is 1427274011. The reversal of 1427274000 is 4727241.

It is a happy number.

It is a super-2 number, since 2×14272740002 = 4074222142152000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40785 + ... + 67215.

It is an arithmetic number, because the mean of its divisors is an integer number (31956288).

Almost surely, 21427274000 is an apocalyptic number.

1427274000 is a gapful number since it is divisible by the number (10) 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 1427274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556503040).

1427274000 is an abundant number, since it is smaller than the sum of its proper divisors (3685732080).

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

1427274000 is a wasteful number, since it uses less digits than its factorization.

1427274000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26463 (or 26441 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 1427274000 is about 37779.2800354904. The cubic root of 1427274000 is about 1125.9068243987.

The spelling of 1427274000 in words is "one billion, four hundred twenty-seven million, two hundred seventy-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2700 3000 3375 3600 4500 5400 6000 6750 9000 10800 13500 18000 26431 27000 52862 54000 79293 105724 132155 158586 211448 237879 264310 317172 396465 422896 475758 528620 634344 660775 713637 792930 951516 1057240 1189395 1268688 1321550 1427274 1585860 1903032 1982325 2114480 2378790 2643100 2854548 3171720 3303875 3568185 3806064 3964650 4757580 5286200 5709096 5946975 6343440 6607750 7136370 7929300 9515160 9911625 10572400 11418192 11893950 13215500 14272740 15858600 17840925 19030320 19823250 23787900 26431000 28545480 29734875 31717200 35681850 39646500 47575800 52862000 57090960 59469750 71363700 79293000 89204625 95151600 118939500 142727400 158586000 178409250 237879000 285454800 356818500 475758000 713637000 1427274000