Search a number
-
+
1079422340 = 225296772749
BaseRepresentation
bin100000001010110…
…1010110110000100
32210020010100002012
41000111222312010
54202313003330
6255035433352
735514636623
oct10025526604
92706110065
101079422340
1150433aa87
122615b5858
13142827659
14a35036ba
1564b6dc95
hex4056ad84

1079422340 has 48 divisors (see below), whose sum is σ = 2349270000. Its totient is φ = 416113152.

The previous prime is 1079422339. The next prime is 1079422363. The reversal of 1079422340 is 432249701.

It can be written as a sum of positive squares in 8 ways, for example, as 6728836 + 1072693504 = 2594^2 + 32752^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1079422297 and 1079422306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391286 + ... + 394034.

It is an arithmetic number, because the mean of its divisors is an integer number (48943125).

Almost surely, 21079422340 is an apocalyptic number.

1079422340 is a gapful number since it is divisible by the number (10) 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 1079422340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174635000).

1079422340 is an abundant number, since it is smaller than the sum of its proper divisors (1269847660).

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

1079422340 is a wasteful number, since it uses less digits than its factorization.

1079422340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 1079422340 is about 32854.5634577603. The cubic root of 1079422340 is about 1025.8026122894.

The spelling of 1079422340 in words is "one billion, seventy-nine million, four hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 677 1354 2708 2749 3385 5498 6770 10996 13540 13745 19633 27490 39266 54980 78532 79721 98165 159442 196330 318884 392660 398605 797210 1594420 1861073 3722146 7444292 9305365 18610730 37221460 53971117 107942234 215884468 269855585 539711170 1079422340