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1312097248 = 257114391213
BaseRepresentation
bin100111000110101…
…0000001111100000
310101102221110001101
41032031100033200
510141344102443
6334110444144
744341433260
oct11615201740
93342843041
101312097248
116137100a0
12307503654
1317bab2307
14c638d7a0
157a2ce84d
hex4e3503e0

1312097248 has 96 divisors (see below), whose sum is σ = 3230599680. Its totient is φ = 509621760.

The previous prime is 1312097239. The next prime is 1312097273. The reversal of 1312097248 is 8427902131.

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, 1081090 + ... + 1082302.

It is an arithmetic number, because the mean of its divisors is an integer number (33652080).

Almost surely, 21312097248 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 1312097248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615299840).

1312097248 is an abundant number, since it is smaller than the sum of its proper divisors (1918502432).

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

1312097248 is a wasteful number, since it uses less digits than its factorization.

1312097248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 1312097248 is about 36222.8829333061. The cubic root of 1312097248 is about 1094.7677823979.

Adding to 1312097248 its reverse (8427902131), we get a palindrome (9739999379).

The spelling of 1312097248 in words is "one billion, three hundred twelve million, ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 439 616 878 1213 1232 1756 2426 2464 3073 3512 4829 4852 6146 7024 8491 9658 9704 12292 13343 14048 16982 19316 19408 24584 26686 33803 33964 38632 38816 49168 53372 67606 67928 77264 93401 98336 106744 135212 135856 154528 186802 213488 270424 271712 373604 426976 532507 540848 747208 1065014 1081696 1494416 2130028 2988832 3727549 4260056 5857577 7455098 8520112 11715154 14910196 17040224 23430308 29820392 41003039 46860616 59640784 82006078 93721232 119281568 164012156 187442464 328024312 656048624 1312097248