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1432442130 = 235753179719
BaseRepresentation
bin101010101100001…
…0101010100010010
310200211101121012020
41111120111110102
510413201122010
6354050112310
750332362060
oct12530252422
93624347166
101432442130
11675637a79
1233b87b696
1319a9ca1c2
14d8359030
1585b52470
hex55615512

1432442130 has 128 divisors (see below), whose sum is σ = 4031078400. Its totient is φ = 318998784.

The previous prime is 1432442119. The next prime is 1432442131. The reversal of 1432442130 is 312442341.

It is a self number, because there is not a number n which added to its sum of digits gives 1432442130.

It is not an unprimeable number, because it can be changed into a prime (1432442131) 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 63 ways as a sum of consecutive naturals, for example, 1991911 + ... + 1992629.

It is an arithmetic number, because the mean of its divisors is an integer number (31492800).

Almost surely, 21432442130 is an apocalyptic number.

1432442130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1432442130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015539200).

1432442130 is an abundant number, since it is smaller than the sum of its proper divisors (2598636270).

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

1432442130 is a wasteful number, since it uses less digits than its factorization.

1432442130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1432442130 is about 37847.6172301507. The cubic root of 1432442130 is about 1127.2641493037.

Adding to 1432442130 its reverse (312442341), we get a palindrome (1744884471).

The spelling of 1432442130 in words is "one billion, four hundred thirty-two million, four hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 159 179 210 265 318 358 371 530 537 719 742 795 895 1074 1113 1253 1438 1590 1790 1855 2157 2226 2506 2685 3595 3710 3759 4314 5033 5370 5565 6265 7190 7518 9487 10066 10785 11130 12530 15099 18795 18974 21570 25165 28461 30198 37590 38107 47435 50330 56922 66409 75495 76214 94870 114321 128701 132818 142305 150990 190535 199227 228642 257402 266749 284610 332045 381070 386103 398454 533498 571605 643505 664090 772206 800247 900907 996135 1143210 1287010 1333745 1600494 1801814 1930515 1992270 2667490 2702721 3861030 4001235 4504535 5405442 6821153 8002470 9009070 13513605 13642306 20463459 27027210 34105765 40926918 47748071 68211530 95496142 102317295 143244213 204634590 238740355 286488426 477480710 716221065 1432442130