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1310713248 = 253137314387
BaseRepresentation
bin100111000011111…
…1110010110100000
310101100100010120010
41032013332112200
510141020310443
6334021044520
744323610265
oct11607762640
93340303503
101310713248
11612955299
12306b56740
1317b719390
14c610d26c
157a109733
hex4e1fe5a0

1310713248 has 96 divisors (see below), whose sum is σ = 3756303936. Its totient is φ = 397744128.

The previous prime is 1310713223. The next prime is 1310713249. The reversal of 1310713248 is 8423170131.

1310713248 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1310713249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83911 + ... + 98297.

It is an arithmetic number, because the mean of its divisors is an integer number (39128166).

Almost surely, 21310713248 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 1310713248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878151968).

1310713248 is an abundant number, since it is smaller than the sum of its proper divisors (2445590688).

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

1310713248 is a wasteful number, since it uses less digits than its factorization.

1310713248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14486 (or 14478 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1310713248 is about 36203.7739469244. The cubic root of 1310713248 is about 1094.3827266775.

Adding to 1310713248 its reverse (8423170131), we get a palindrome (9733883379).

The spelling of 1310713248 in words is "one billion, three hundred ten million, seven hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 73 78 96 104 146 156 208 219 292 312 416 438 584 624 876 949 1168 1248 1752 1898 2336 2847 3504 3796 5694 7008 7592 11388 14387 15184 22776 28774 30368 43161 45552 57548 86322 91104 115096 172644 187031 230192 345288 374062 460384 561093 690576 748124 1050251 1122186 1381152 1496248 2100502 2244372 2992496 3150753 4201004 4488744 5984992 6301506 8402008 8977488 12603012 13653263 16804016 17954976 25206024 27306526 33608032 40959789 50412048 54613052 81919578 100824096 109226104 163839156 218452208 327678312 436904416 655356624 1310713248