Search a number
-
+
1079397312 = 26377191117
BaseRepresentation
bin100000001010110…
…0100101111000000
32210020002001202020
41000111210233000
54202311203222
6255035121440
735514503640
oct10025445700
92706061666
101079397312
115043231a4
122615a3280
13142819146
14a34d8520
1564b6665c
hex40564bc0

1079397312 has 112 divisors (see below), whose sum is σ = 3271357440. Its totient is φ = 307694592.

The previous prime is 1079397287. The next prime is 1079397331. The reversal of 1079397312 is 2137939701.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 965778 + ... + 966894.

Almost surely, 21079397312 is an apocalyptic number.

1079397312 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 1079397312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635678720).

1079397312 is an abundant number, since it is smaller than the sum of its proper divisors (2191960128).

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

1079397312 is a wasteful number, since it uses less digits than its factorization.

1079397312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 42.

The square root of 1079397312 is about 32854.1825647816. The cubic root of 1079397312 is about 1025.7946839789.

The spelling of 1079397312 in words is "one billion, seventy-nine million, three hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 719 1117 1344 1438 2157 2234 2876 3351 4314 4468 5033 5752 6702 7819 8628 8936 10066 11504 13404 15099 15638 17256 17872 20132 23008 23457 26808 30198 31276 34512 35744 40264 46016 46914 53616 60396 62552 69024 71488 80528 93828 107232 120792 125104 138048 161056 187656 214464 241584 250208 322112 375312 483168 500416 750624 803123 966336 1501248 1606246 2409369 3212492 4818738 5621861 6424984 9637476 11243722 12849968 16865583 19274952 22487444 25699936 33731166 38549904 44974888 51399872 67462332 77099808 89949776 134924664 154199616 179899552 269849328 359799104 539698656 1079397312