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1430331420 = 2235730711093
BaseRepresentation
bin101010101000001…
…0010000000011100
310200200102100211210
41111100102000130
510412131101140
6353532544420
750305421310
oct12520220034
93620370753
101430331420
11674426191
1233b022110
1319a43b56b
14d7d69b40
1585886d80
hex5541201c

1430331420 has 96 divisors (see below), whose sum is σ = 4592383488. Its totient is φ = 325838592.

The previous prime is 1430331389. The next prime is 1430331443. The reversal of 1430331420 is 241330341.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123394 + ... + 134486.

It is an arithmetic number, because the mean of its divisors is an integer number (47837328).

Almost surely, 21430331420 is an apocalyptic number.

1430331420 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 1430331420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296191744).

1430331420 is an abundant number, since it is smaller than the sum of its proper divisors (3162052068).

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

1430331420 is a wasteful number, since it uses less digits than its factorization.

1430331420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11419 (or 11417 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1430331420 is about 37819.7226325101. The cubic root of 1430331420 is about 1126.7102008473.

Adding to 1430331420 its reverse (241330341), we get a palindrome (1671661761).

It can be divided in two parts, 143033 and 1420, that added together give a triangular number (144453 = T537).

The spelling of 1430331420 in words is "one billion, four hundred thirty million, three hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 307 420 614 921 1228 1535 1842 2149 3070 3684 4298 4605 6140 6447 8596 9210 10745 11093 12894 18420 21490 22186 25788 32235 33279 42980 44372 55465 64470 66558 77651 110930 128940 133116 155302 166395 221860 232953 310604 332790 388255 465906 665580 776510 931812 1164765 1553020 2329530 3405551 4659060 6811102 10216653 13622204 17027755 20433306 23838857 34055510 40866612 47677714 51083265 68111020 71516571 95355428 102166530 119194285 143033142 204333060 238388570 286066284 357582855 476777140 715165710 1430331420