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1425665360 = 245719712923
BaseRepresentation
bin101010011111001…
…1110110101010000
310200100122022012202
41110332132311100
510404432242420
6353244542332
750220645530
oct12476366520
93610568182
101425665360
11671829539
123395519a8
13199496792
14d74b34c0
1585264575
hex54f9ed50

1425665360 has 80 divisors (see below), whose sum is σ = 3807720576. Its totient is φ = 486280704.

The previous prime is 1425665309. The next prime is 1425665383. The reversal of 1425665360 is 635665241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103859 + ... + 116781.

Almost surely, 21425665360 is an apocalyptic number.

1425665360 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 1425665360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903860288).

1425665360 is an abundant number, since it is smaller than the sum of its proper divisors (2382055216).

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

1425665360 is a wasteful number, since it uses less digits than its factorization.

1425665360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13140 (or 13134 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 1425665360 is about 37757.9840563556. The cubic root of 1425665360 is about 1125.4836728471.

The spelling of 1425665360 in words is "one billion, four hundred twenty-five million, six hundred sixty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 197 280 394 560 788 985 1379 1576 1970 2758 3152 3940 5516 6895 7880 11032 12923 13790 15760 22064 25846 27580 51692 55160 64615 90461 103384 110320 129230 180922 206768 258460 361844 452305 516920 723688 904610 1033840 1447376 1809220 2545831 3618440 5091662 7236880 10183324 12729155 17820817 20366648 25458310 35641634 40733296 50916620 71283268 89104085 101833240 142566536 178208170 203666480 285133072 356416340 712832680 1425665360