Search a number
-
+
1079540220 = 2235112241617
BaseRepresentation
bin100000001011000…
…0111100111111100
32210020100022210010
41000112013213330
54202330241340
6255042143220
735515640403
oct10026074774
92706308703
101079540220
11504410600
12261651b10
131428691c5
14a353463a
1564b93b80
hex405879fc

1079540220 has 144 divisors (see below), whose sum is σ = 3341679264. Its totient is φ = 260198400.

The previous prime is 1079540183. The next prime is 1079540221. The reversal of 1079540220 is 220459701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1079540221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1749352 + ... + 1749968.

It is an arithmetic number, because the mean of its divisors is an integer number (23206106).

Almost surely, 21079540220 is an apocalyptic number.

1079540220 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 1079540220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670839632).

1079540220 is an abundant number, since it is smaller than the sum of its proper divisors (2262139044).

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

1079540220 is a wasteful number, since it uses less digits than its factorization.

1079540220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1079540220 is about 32856.3573757043. The cubic root of 1079540220 is about 1025.8399523881.

Adding to 1079540220 its reverse (220459701), we get a palindrome (1299999921).

It can be divided in two parts, 10795 and 40220, that added together give a palindrome (51015).

The spelling of 1079540220 in words is "one billion, seventy-nine million, five hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 241 242 330 363 482 484 605 617 660 723 726 964 1205 1210 1234 1446 1452 1815 1851 2410 2420 2468 2651 2892 3085 3615 3630 3702 4820 5302 6170 6787 7230 7260 7404 7953 9255 10604 12340 13255 13574 14460 15906 18510 20361 26510 27148 29161 31812 33935 37020 39765 40722 53020 58322 67870 74657 79530 81444 87483 101805 116644 135740 145805 148697 149314 159060 174966 203610 223971 291610 297394 298628 349932 373285 407220 437415 446091 447942 583220 594788 743485 746570 874830 892182 895884 1119855 1486970 1493140 1635667 1749660 1784364 2230455 2239710 2973940 3271334 4460910 4479420 4907001 6542668 8178335 8921820 9814002 16356670 17992337 19628004 24535005 32713340 35984674 49070010 53977011 71969348 89961685 98140020 107954022 179923370 215908044 269885055 359846740 539770110 1079540220