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1430135120 = 245102117509
BaseRepresentation
bin101010100111110…
…0010000101010000
310200200001101120102
41111033202011100
510412103310440
6353524431532
750303643101
oct12517420520
93620041512
101430135120
11674301757
1233ab485a8
1319a3a00cb
14d7d183a8
1585848b15
hex553e2150

1430135120 has 40 divisors (see below), whose sum is σ = 3328510920. Its totient is φ = 571461120.

The previous prime is 1430135107. The next prime is 1430135141. The reversal of 1430135120 is 215310341.

It can be written as a sum of positive squares in 4 ways, for example, as 85264 + 1430049856 = 292^2 + 37816^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×14301351202 = 4090572922914828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1430135092 and 1430135101.

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 7 ways as a sum of consecutive naturals, for example, 72926 + ... + 90434.

It is an arithmetic number, because the mean of its divisors is an integer number (83212773).

Almost surely, 21430135120 is an apocalyptic number.

1430135120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1430135120 is an abundant number, since it is smaller than the sum of its proper divisors (1898375800).

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

1430135120 is a wasteful number, since it uses less digits than its factorization.

1430135120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18543 (or 18537 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1430135120 is about 37817.1273366976. The cubic root of 1430135120 is about 1126.6586549076.

Adding to 1430135120 its reverse (215310341), we get a palindrome (1645445461).

The spelling of 1430135120 in words is "one billion, four hundred thirty million, one hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1021 2042 4084 5105 8168 10210 16336 17509 20420 35018 40840 70036 81680 87545 140072 175090 280144 350180 700360 1400720 17876689 35753378 71506756 89383445 143013512 178766890 286027024 357533780 715067560 1430135120