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1340635136 = 21119131263
BaseRepresentation
bin100111111101000…
…0111100000000000
310110102122022200012
41033322013200000
510221200311021
6341010244052
745136132151
oct11772074000
93412568605
101340635136
11628832025
12314b86628
13184994939
14ca09b928
157ca6a35b
hex4fe87800

1340635136 has 96 divisors (see below), whose sum is σ = 2854051200. Its totient is φ = 627793920.

The previous prime is 1340635081. The next prime is 1340635139. The reversal of 1340635136 is 6315360431.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340635139) by changing a digit.

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, 5097341 + ... + 5097603.

It is an arithmetic number, because the mean of its divisors is an integer number (29729700).

Almost surely, 21340635136 is an apocalyptic number.

1340635136 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 1340635136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427025600).

1340635136 is an abundant number, since it is smaller than the sum of its proper divisors (1513416064).

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

1340635136 is a wasteful number, since it uses less digits than its factorization.

1340635136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 1340635136 is about 36614.6847043642. The cubic root of 1340635136 is about 1102.6479282109.

Adding to 1340635136 its reverse (6315360431), we get a palindrome (7655995567).

The spelling of 1340635136 in words is "one billion, three hundred forty million, six hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 131 152 256 262 263 304 512 524 526 608 1024 1048 1052 1216 2048 2096 2104 2432 2489 4192 4208 4864 4978 4997 8384 8416 9728 9956 9994 16768 16832 19456 19912 19988 33536 33664 34453 38912 39824 39976 67072 67328 68906 79648 79952 134144 134656 137812 159296 159904 268288 269312 275624 318592 319808 538624 551248 637184 639616 654607 1102496 1274368 1279232 1309214 2204992 2548736 2558464 2618428 4409984 5097472 5116928 5236856 8819968 10233856 10473712 17639936 20947424 35279872 41894848 70559744 83789696 167579392 335158784 670317568 1340635136