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1426063360 = 224517
BaseRepresentation
bin101010100000000…
…0000000000000000
310200101101112011111
41111000000000000
510410033011420
6353301253104
750224224061
oct12500000000
93611345144
101426063360
11671a80567
12339704194
131995a5997
14d7578568
15852e245a
hex55000000

1426063360 has 100 divisors (see below), whose sum is σ = 3623878548. Its totient is φ = 536870912.

The previous prime is 1426063351. The next prime is 1426063363. The reversal of 1426063360 is 633606241.

It can be written as a sum of positive squares in 2 ways, for example, as 822083584 + 603979776 = 28672^2 + 24576^2 .

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426063363) by changing a digit.

In principle, a polygon with 1426063360 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83886072 + ... + 83886088.

Almost surely, 21426063360 is an apocalyptic number.

1426063360 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 1426063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811939274).

1426063360 is an abundant number, since it is smaller than the sum of its proper divisors (2197815188).

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

1426063360 is an frugal number, since it uses more digits than its factorization.

1426063360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 1426063360 is about 37763.2540970717. The cubic root of 1426063360 is about 1125.5883960725.

The spelling of 1426063360 in words is "one billion, four hundred twenty-six million, sixty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2048 2176 2560 2720 4096 4352 5120 5440 8192 8704 10240 10880 16384 17408 20480 21760 32768 34816 40960 43520 65536 69632 81920 87040 131072 139264 163840 174080 262144 278528 327680 348160 524288 557056 655360 696320 1048576 1114112 1310720 1392640 2097152 2228224 2621440 2785280 4194304 4456448 5242880 5570560 8388608 8912896 10485760 11141120 16777216 17825792 20971520 22282240 35651584 41943040 44564480 71303168 83886080 89128960 142606336 178257920 285212672 356515840 713031680 1426063360