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1312240752 = 243241474729
BaseRepresentation
bin100111000110111…
…0011010001110000
310101110012201220100
41032031303101300
510141413201002
6334113512400
744342601534
oct11615632160
93343181810
101312240752
116137a8999
12307572700
1317bb32724
14c63c9bc4
157a30c11c
hex4e373470

1312240752 has 120 divisors (see below), whose sum is σ = 3842879040. Its totient is φ = 417576960.

The previous prime is 1312240747. The next prime is 1312240753. The reversal of 1312240752 is 2570422131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312240753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275124 + ... + 279852.

It is an arithmetic number, because the mean of its divisors is an integer number (32023992).

Almost surely, 21312240752 is an apocalyptic number.

1312240752 is a gapful number since it is divisible by the number (12) 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 1312240752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921439520).

1312240752 is an abundant number, since it is smaller than the sum of its proper divisors (2530638288).

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

1312240752 is a wasteful number, since it uses less digits than its factorization.

1312240752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4831 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1312240752 is about 36224.8637264518. The cubic root of 1312240752 is about 1094.8076925059.

Adding to 1312240752 its reverse (2570422131), we get a palindrome (3882662883).

It can be divided in two parts, 1312 and 240752, that added together give a square (242064 = 4922).

The spelling of 1312240752 in words is "one billion, three hundred twelve million, two hundred forty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 47 48 72 82 94 123 141 144 164 188 246 282 328 369 376 423 492 564 656 738 752 846 984 1128 1476 1692 1927 1968 2256 2952 3384 3854 4729 5781 5904 6768 7708 9458 11562 14187 15416 17343 18916 23124 28374 30832 34686 37832 42561 46248 56748 69372 75664 85122 92496 113496 138744 170244 193889 222263 226992 277488 340488 387778 444526 581667 666789 680976 775556 889052 1163334 1333578 1551112 1745001 1778104 2000367 2326668 2667156 3102224 3490002 3556208 4000734 4653336 5334312 6980004 8001468 9112783 9306672 10668624 13960008 16002936 18225566 27338349 27920016 32005872 36451132 54676698 72902264 82015047 109353396 145804528 164030094 218706792 328060188 437413584 656120376 1312240752