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1312037272 = 237135033583
BaseRepresentation
bin100111000110100…
…0001100110011000
310101102211101210001
41032031001212120
510141340143042
6334105302344
744341063360
oct11615014630
93342741701
101312037272
1161367a027
123074949b4
1317ba90c20
14c63759a0
157a2bbbb7
hex4e341998

1312037272 has 64 divisors (see below), whose sum is σ = 3034644480. Its totient is φ = 517871232.

The previous prime is 1312037261. The next prime is 1312037291. The reversal of 1312037272 is 2727302131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1312037272.

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 15 ways as a sum of consecutive naturals, for example, 364393 + ... + 367975.

It is an arithmetic number, because the mean of its divisors is an integer number (47416320).

Almost surely, 21312037272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312037272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517322240).

1312037272 is an abundant number, since it is smaller than the sum of its proper divisors (1722607208).

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

1312037272 is a wasteful number, since it uses less digits than its factorization.

1312037272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 1312037272 is about 36222.0550493756. The cubic root of 1312037272 is about 1094.7511015223.

The spelling of 1312037272 in words is "one billion, three hundred twelve million, thirty-seven thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 503 728 1006 2012 3521 3583 4024 6539 7042 7166 13078 14084 14332 25081 26156 28168 28664 45773 46579 50162 52312 91546 93158 100324 183092 186316 200648 326053 366184 372632 652106 1304212 1802249 2608424 3604498 7208996 12615743 14417992 23429237 25231486 46858474 50462972 93716948 100925944 164004659 187433896 328009318 656018636 1312037272