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1427031432 = 23343171039
BaseRepresentation
bin101010100001110…
…1100010110001000
310200110012201010000
41111003230112020
510410310001212
6353334123000
750235365331
oct12503542610
93613181100
101427031432
11672581922
12339ab0460
131998544c8
14d774b288
15854341dc
hex550ec588

1427031432 has 80 divisors (see below), whose sum is σ = 4126003200. Its totient is φ = 460326240.

The previous prime is 1427031427. The next prime is 1427031467. The reversal of 1427031432 is 2341307241.

It is a happy number.

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 = 1427031396 and 1427031405.

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 19 ways as a sum of consecutive naturals, for example, 15432 + ... + 55607.

It is an arithmetic number, because the mean of its divisors is an integer number (51575040).

Almost surely, 21427031432 is an apocalyptic number.

1427031432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1427031432 is an abundant number, since it is smaller than the sum of its proper divisors (2698971768).

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

1427031432 is a wasteful number, since it uses less digits than its factorization.

1427031432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71088 (or 71075 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1427031432 is about 37776.0695679156. The cubic root of 1427031432 is about 1125.8430374314.

Adding to 1427031432 its reverse (2341307241), we get a palindrome (3768338673).

The spelling of 1427031432 in words is "one billion, four hundred twenty-seven million, thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1674 2232 2511 3348 5022 6696 10044 20088 71039 142078 213117 284156 426234 568312 639351 852468 1278702 1704936 1918053 2202209 2557404 3836106 4404418 5114808 5754159 6606627 7672212 8808836 11508318 13213254 15344424 17617672 19819881 23016636 26426508 39639762 46033272 52853016 59459643 79279524 118919286 158559048 178378929 237838572 356757858 475677144 713515716 1427031432