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1425607760 = 245174722303
BaseRepresentation
bin101010011111001…
…0000110001010000
310200100112101012102
41110332100301100
510404423422020
6353243415532
750220315563
oct12476206120
93610471172
101425607760
1167179a235
123395245a8
131994764b5
14d749a4da
1585252475
hex54f90c50

1425607760 has 80 divisors (see below), whose sum is σ = 3584342016. Its totient is φ = 525256704.

The previous prime is 1425607747. The next prime is 1425607787. The reversal of 1425607760 is 677065241.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52769 + ... + 75071.

Almost surely, 21425607760 is an apocalyptic number.

1425607760 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 1425607760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792171008).

1425607760 is an abundant number, since it is smaller than the sum of its proper divisors (2158734256).

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

1425607760 is a wasteful number, since it uses less digits than its factorization.

1425607760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22380 (or 22374 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 1425607760 is about 37757.2212960647. The cubic root of 1425607760 is about 1125.4685153086.

The spelling of 1425607760 in words is "one billion, four hundred twenty-five million, six hundred seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 47 68 80 85 94 136 170 188 235 272 340 376 470 680 752 799 940 1360 1598 1880 3196 3760 3995 6392 7990 12784 15980 22303 31960 44606 63920 89212 111515 178424 223030 356848 379151 446060 758302 892120 1048241 1516604 1784240 1895755 2096482 3033208 3791510 4192964 5241205 6066416 7583020 8385928 10482410 15166040 16771856 17820097 20964820 30332080 35640194 41929640 71280388 83859280 89100485 142560776 178200970 285121552 356401940 712803880 1425607760