Search a number
-
+
1260111132 = 2232729269641
BaseRepresentation
bin100101100011011…
…1100010100011100
310020211010021111200
41023012330110130
510040042024012
6325012315500
743140524250
oct11306742434
93224107450
101260111132
11597333165
122b2012b90
131710acbb7
14bd4da260
15759613dc
hex4b1bc51c

1260111132 has 144 divisors (see below), whose sum is σ = 3785745600. Its totient is φ = 345784320.

The previous prime is 1260111121. The next prime is 1260111163. The reversal of 1260111132 is 2311110621.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1965532 + ... + 1966172.

It is an arithmetic number, because the mean of its divisors is an integer number (26289900).

Almost surely, 21260111132 is an apocalyptic number.

1260111132 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 1260111132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892872800).

1260111132 is an abundant number, since it is smaller than the sum of its proper divisors (2525634468).

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

1260111132 is a wasteful number, since it uses less digits than its factorization.

1260111132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1260111132 is about 35498.0440587929. The cubic root of 1260111132 is about 1080.1140517413.

Adding to 1260111132 its reverse (2311110621), we get a palindrome (3571221753).

The spelling of 1260111132 in words is "one billion, two hundred sixty million, one hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 269 348 406 522 538 609 641 807 812 1044 1076 1218 1282 1614 1827 1883 1923 2421 2436 2564 3228 3654 3766 3846 4487 4842 5649 5769 7308 7532 7692 7801 8974 9684 11298 11538 13461 15602 16947 17948 18589 22596 23076 23403 26922 31204 33894 37178 40383 46806 53844 54607 55767 67788 70209 74356 80766 93612 109214 111534 130123 140418 161532 163821 167301 172429 218428 223068 260246 280836 327642 334602 344858 390369 491463 517287 520492 655284 669204 689716 780738 982926 1034574 1171107 1207003 1551861 1561476 1965852 2069148 2342214 2414006 3103722 3621009 4684428 4828012 5000441 6207444 7242018 10000882 10863027 14484036 15001323 20001764 21726054 30002646 35003087 43452108 45003969 60005292 70006174 90007938 105009261 140012348 180015876 210018522 315027783 420037044 630055566 1260111132