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1312709240 = 235192696421
BaseRepresentation
bin100111000111110…
…0101101001111000
310101111002112112202
41032033211221320
510142023143430
6334131525332
744346562433
oct11617455170
93344075482
101312709240
11613a98977
12307759848
1317bc67a3b
14c64ac81a
157a3a0d45
hex4e3e5a78

1312709240 has 64 divisors (see below), whose sum is σ = 3121092000. Its totient is φ = 495521280.

The previous prime is 1312709227. The next prime is 1312709249. The reversal of 1312709240 is 429072131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312709249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 201230 + ... + 207650.

Almost surely, 21312709240 is an apocalyptic number.

1312709240 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 1312709240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560546000).

1312709240 is an abundant number, since it is smaller than the sum of its proper divisors (1808382760).

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

1312709240 is a wasteful number, since it uses less digits than its factorization.

1312709240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6720 (or 6716 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 1312709240 is about 36231.3295367421. The cubic root of 1312709240 is about 1094.9379641398.

The spelling of 1312709240 in words is "one billion, three hundred twelve million, seven hundred nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 269 380 538 760 1076 1345 2152 2690 5111 5380 6421 10222 10760 12842 20444 25555 25684 32105 40888 51110 51368 64210 102220 121999 128420 204440 243998 256840 487996 609995 975992 1219990 1727249 2439980 3454498 4879960 6908996 8636245 13817992 17272490 32817731 34544980 65635462 69089960 131270924 164088655 262541848 328177310 656354620 1312709240