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1426430720 = 28511137793
BaseRepresentation
bin101010100000101…
…1001101100000000
310200102002012002102
41111001121230000
510410131240340
6353313205532
750230314101
oct12501315400
93612065072
101426430720
11672201570
123398608a8
131996a3c60
14d76323a8
1585366215
hex55059b00

1426430720 has 144 divisors (see below), whose sum is σ = 4014595872. Its totient is φ = 478740480.

The previous prime is 1426430693. The next prime is 1426430809. The reversal of 1426430720 is 270346241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179144 + ... + 186936.

It is an arithmetic number, because the mean of its divisors is an integer number (27879138).

Almost surely, 21426430720 is an apocalyptic number.

1426430720 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 1426430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007297936).

1426430720 is an abundant number, since it is smaller than the sum of its proper divisors (2588165152).

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

1426430720 is a wasteful number, since it uses less digits than its factorization.

1426430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7838 (or 7824 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 1426430720 is about 37768.1177714749. The cubic root of 1426430720 is about 1125.6850398972.

Adding to 1426430720 its reverse (270346241), we get a palindrome (1696776961).

The spelling of 1426430720 in words is "one billion, four hundred twenty-six million, four hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 256 260 286 320 352 416 440 520 572 640 704 715 832 880 1040 1144 1280 1408 1430 1664 1760 2080 2288 2816 2860 3328 3520 4160 4576 5720 7040 7793 8320 9152 11440 14080 15586 16640 18304 22880 31172 36608 38965 45760 62344 77930 85723 91520 101309 124688 155860 171446 183040 202618 249376 311720 342892 405236 428615 498752 506545 623440 685784 810472 857230 997504 1013090 1114399 1246880 1371568 1620944 1714460 1995008 2026180 2228798 2493760 2743136 3241888 3428920 4052360 4457596 4987520 5486272 5571995 6483776 6857840 8104720 8915192 9975040 10972544 11143990 12967552 13715680 16209440 17830384 21945088 22287980 25935104 27431360 32418880 35660768 44575960 54862720 64837760 71321536 89151920 109725440 129675520 142643072 178303840 285286144 356607680 713215360 1426430720