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1352130435 = 33553593203
BaseRepresentation
bin101000010010111…
…1101111110000011
310111020021100021000
41100211331332003
510232121133220
6342100503043
745335630145
oct12045757603
93436240230
101352130435
11634273677
123189aaa83
1318718aca6
14cb810c95
157da8b390
hex5097df83

1352130435 has 64 divisors (see below), whose sum is σ = 2491430400. Its totient is φ = 695320704.

The previous prime is 1352130419. The next prime is 1352130457. The reversal of 1352130435 is 5340312531.

1352130435 is a `hidden beast` number, since 1 + 352 + 1 + 304 + 3 + 5 = 666.

It is not a de Polignac number, because 1352130435 - 24 = 1352130419 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1352130399 and 1352130408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 420544 + ... + 423746.

It is an arithmetic number, because the mean of its divisors is an integer number (38928600).

Almost surely, 21352130435 is an apocalyptic number.

1352130435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1352130435 is a deficient number, since it is larger than the sum of its proper divisors (1139299965).

1352130435 is a wasteful number, since it uses less digits than its factorization.

1352130435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1352130435 is about 36771.3262610964. The cubic root of 1352130435 is about 1105.7905210471.

Adding to 1352130435 its reverse (5340312531), we get a palindrome (6692442966).

It can be divided in two parts, 13521 and 30435, that added together give a triangular number (43956 = T296).

The spelling of 1352130435 in words is "one billion, three hundred fifty-two million, one hundred thirty thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 53 59 135 159 177 265 295 477 531 795 885 1431 1593 2385 2655 3127 3203 7155 7965 9381 9609 15635 16015 28143 28827 46905 48045 84429 86481 140715 144135 169759 188977 422145 432405 509277 566931 848795 944885 1527831 1700793 2546385 2834655 4583493 5102379 7639155 8503965 10015781 22917465 25511895 30047343 50078905 90142029 150236715 270426087 450710145 1352130435