Search a number
-
+
1119052260 = 223453122283
BaseRepresentation
bin100001010110011…
…0110000111100100
32212222200202010000
41002230312013210
54242434133020
6303013101300
736505534014
oct10254660744
92788622100
101119052260
11524748587
12272927830
1314aac1901
14a889bc44
156839b090
hex42b361e4

1119052260 has 120 divisors (see below), whose sum is σ = 3623913216. Its totient is φ = 288774720.

The previous prime is 1119052247. The next prime is 1119052289. The reversal of 1119052260 is 622509111.

It is a super-2 number, since 2×11190522602 = 2504555921222215200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39079 + ... + 61361.

Almost surely, 21119052260 is an apocalyptic number.

1119052260 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 1119052260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811956608).

1119052260 is an abundant number, since it is smaller than the sum of its proper divisors (2504860956).

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

1119052260 is a wasteful number, since it uses less digits than its factorization.

1119052260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22335 (or 22324 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1119052260 is about 33452.2384901220. The cubic root of 1119052260 is about 1038.2058130431.

The spelling of 1119052260 in words is "one billion, one hundred nineteen million, fifty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 270 279 310 324 372 405 465 540 558 620 810 837 930 1116 1395 1620 1674 1860 2511 2790 3348 4185 5022 5580 8370 10044 12555 16740 22283 25110 44566 50220 66849 89132 111415 133698 200547 222830 267396 334245 401094 445660 601641 668490 690773 802188 1002735 1203282 1336980 1381546 1804923 2005470 2072319 2406564 2763092 3008205 3453865 3609846 4010940 4144638 6016410 6216957 6907730 7219692 8289276 9024615 10361595 12032820 12433914 13815460 18049230 18650871 20723190 24867828 31084785 36098460 37301742 41446380 55952613 62169570 74603484 93254355 111905226 124339140 186508710 223810452 279763065 373017420 559526130 1119052260