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1352035136 = 26191736427
BaseRepresentation
bin101000010010110…
…0110101101000000
310111020002111112102
41100211212231000
510232110111021
6342054445532
745335052254
oct12045465500
93436074472
101352035136
11634209011
123189638a8
131871567ba
14cb7c8264
157da6d00b
hex50966b40

1352035136 has 56 divisors (see below), whose sum is σ = 2840918880. Its totient is φ = 636636672.

The previous prime is 1352035133. The next prime is 1352035159. The reversal of 1352035136 is 6315302531.

It is a junction number, because it is equal to n+sod(n) for n = 1352035099 and 1352035108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352035133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207155 + ... + 213581.

Almost surely, 21352035136 is an apocalyptic number.

1352035136 is a gapful number since it is divisible by the number (16) 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 1352035136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420459440).

1352035136 is an abundant number, since it is smaller than the sum of its proper divisors (1488883744).

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

1352035136 is a wasteful number, since it uses less digits than its factorization.

1352035136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6631 (or 6621 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 29.

The square root of 1352035136 is about 36770.0304052091. The cubic root of 1352035136 is about 1105.7645415005.

Adding to 1352035136 its reverse (6315302531), we get a palindrome (7667337667).

The spelling of 1352035136 in words is "one billion, three hundred fifty-two million, thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 173 304 346 608 692 1216 1384 2768 3287 5536 6427 6574 11072 12854 13148 25708 26296 51416 52592 102832 105184 122113 205664 210368 244226 411328 488452 976904 1111871 1953808 2223742 3907616 4447484 7815232 8894968 17789936 21125549 35579872 42251098 71159744 84502196 169004392 338008784 676017568 1352035136