Search a number
-
+
1079931072 = 263111633137
BaseRepresentation
bin100000001011110…
…0111000011000000
32210021002011221010
41000113213003000
54202430243242
6255054400520
735522156043
oct10027470300
92707064833
101079931072
11504658220
12261800140
1314297508c
14a35d6c5a
1564c1e89c
hex405e70c0

1079931072 has 112 divisors (see below), whose sum is σ = 3137196672. Its totient is φ = 325140480.

The previous prime is 1079931071. The next prime is 1079931089. The reversal of 1079931072 is 2701399701.

It is a super-2 number, since 2×10799310722 = 2332502240542138368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1079931072.

It is not an unprimeable number, because it can be changed into a prime (1079931071) by changing a digit.

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, 342688 + ... + 345824.

Almost surely, 21079931072 is an apocalyptic number.

1079931072 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 1079931072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568598336).

1079931072 is an abundant number, since it is smaller than the sum of its proper divisors (2057265600).

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

1079931072 is a wasteful number, since it uses less digits than its factorization.

1079931072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 1079931072 is about 32862.3047274533. The cubic root of 1079931072 is about 1025.9637406487.

The spelling of 1079931072 in words is "one billion, seventy-nine million, nine hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 163 176 192 264 326 352 489 528 652 704 978 1056 1304 1793 1956 2112 2608 3137 3586 3912 5216 5379 6274 7172 7824 9411 10432 10758 12548 14344 15648 18822 21516 25096 28688 31296 34507 37644 43032 50192 57376 69014 75288 86064 100384 103521 114752 138028 150576 172128 200768 207042 276056 301152 344256 414084 511331 552112 602304 828168 1022662 1104224 1533993 1656336 2045324 2208448 3067986 3312672 4090648 5624641 6135972 6625344 8181296 11249282 12271944 16362592 16873923 22498564 24543888 32725184 33747846 44997128 49087776 67495692 89994256 98175552 134991384 179988512 269982768 359977024 539965536 1079931072