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1427342040 = 233353973329
BaseRepresentation
bin101010100010011…
…1000001011011000
310200110210111012000
41111010320023120
510410344421130
6353344521000
750241131025
oct12504701330
93613714160
101427342040
11672774223
1233a020160
131999329b7
14d77cc54c
1585496260
hex551382d8

1427342040 has 128 divisors (see below), whose sum is σ = 4771224000. Its totient is φ = 379551744.

The previous prime is 1427342023. The next prime is 1427342047. The reversal of 1427342040 is 402437241.

1427342040 is a `hidden beast` number, since 1 + 427 + 34 + 204 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1427341995 and 1427342013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427342047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 427096 + ... + 430424.

Almost surely, 21427342040 is an apocalyptic number.

1427342040 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 1427342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385612000).

1427342040 is an abundant number, since it is smaller than the sum of its proper divisors (3343881960).

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

1427342040 is a wasteful number, since it uses less digits than its factorization.

1427342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 1427342040 is about 37780.1805183617. The cubic root of 1427342040 is about 1125.9247152599.

Adding to 1427342040 its reverse (402437241), we get a palindrome (1829779281).

The spelling of 1427342040 in words is "one billion, four hundred twenty-seven million, three hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 397 540 794 1080 1191 1588 1985 2382 3176 3329 3573 3970 4764 5955 6658 7146 7940 9528 9987 10719 11910 13316 14292 15880 16645 17865 19974 21438 23820 26632 28584 29961 33290 35730 39948 42876 47640 49935 53595 59922 66580 71460 79896 85752 89883 99870 107190 119844 133160 142920 149805 179766 199740 214380 239688 299610 359532 399480 428760 449415 599220 719064 898830 1198440 1321613 1797660 2643226 3595320 3964839 5286452 6608065 7929678 10572904 11894517 13216130 15859356 19824195 23789034 26432260 31718712 35683551 39648390 47578068 52864520 59472585 71367102 79296780 95156136 118945170 142734204 158593560 178417755 237890340 285468408 356835510 475780680 713671020 1427342040