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1427432500 = 225413167263
BaseRepresentation
bin101010100010100…
…1110010000110100
310200110222002021101
41111011032100310
510410410320000
6353350455444
750241655534
oct12505162064
93613862241
101427432500
1167282618a
1233a064584
13199964c20
14d78134c4
15854b2e6a
hex5514e434

1427432500 has 120 divisors (see below), whose sum is σ = 3394613376. Its totient is φ = 521904000.

The previous prime is 1427432497. The next prime is 1427432527. The reversal of 1427432500 is 52347241.

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 39 ways as a sum of consecutive naturals, for example, 5427369 + ... + 5427631.

Almost surely, 21427432500 is an apocalyptic number.

1427432500 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 1427432500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697306688).

1427432500 is an abundant number, since it is smaller than the sum of its proper divisors (1967180876).

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

1427432500 is a wasteful number, since it uses less digits than its factorization.

1427432500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 1427432500 is about 37781.3776879563. The cubic root of 1427432500 is about 1125.9485004951.

Adding to 1427432500 its reverse (52347241), we get a palindrome (1479779741).

The spelling of 1427432500 in words is "one billion, four hundred twenty-seven million, four hundred thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 167 250 260 263 325 334 500 526 625 650 668 835 1052 1250 1300 1315 1625 1670 2171 2500 2630 3250 3340 3419 4175 4342 5260 6500 6575 6838 8125 8350 8684 10855 13150 13676 16250 16700 17095 20875 21710 26300 32500 32875 34190 41750 43420 43921 54275 65750 68380 83500 85475 87842 104375 108550 131500 164375 170950 175684 208750 217100 219605 271375 328750 341900 417500 427375 439210 542750 570973 657500 854750 878420 1085500 1098025 1141946 1356875 1709500 2136875 2196050 2283892 2713750 2854865 4273750 4392100 5427500 5490125 5709730 8547500 10980250 11419460 14274325 21960500 27450625 28548650 54901250 57097300 71371625 109802500 142743250 285486500 356858125 713716250 1427432500