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1132534000 = 245313431013
BaseRepresentation
bin100001110000001…
…0001100011110000
32220221001200120201
41003200101203300
54304412042000
6304214044544
740031244253
oct10340214360
92827050521
101132534000
11531316614
12277349754
13150832180
14aa5ab09a
156966096a
hex438118f0

1132534000 has 160 divisors (see below), whose sum is σ = 3020681664. Its totient is φ = 408038400.

The previous prime is 1132533977. The next prime is 1132534003. The reversal of 1132534000 is 4352311.

It is a super-3 number, since 3×11325340003 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132534003) 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 31 ways as a sum of consecutive naturals, for example, 1117494 + ... + 1118506.

Almost surely, 21132534000 is an apocalyptic number.

1132534000 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 1132534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510340832).

1132534000 is an abundant number, since it is smaller than the sum of its proper divisors (1888147664).

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

1132534000 is a wasteful number, since it uses less digits than its factorization.

1132534000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1132534000 is about 33653.1424981383. The cubic root of 1132534000 is about 1042.3584297480.

Adding to 1132534000 its reverse (4352311), we get a palindrome (1136886311).

The spelling of 1132534000 in words is "one billion, one hundred thirty-two million, five hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 43 50 52 65 80 86 100 104 125 130 172 200 208 215 250 260 325 344 400 430 500 520 559 650 688 860 1000 1013 1040 1075 1118 1300 1625 1720 2000 2026 2150 2236 2600 2795 3250 3440 4052 4300 4472 5065 5200 5375 5590 6500 8104 8600 8944 10130 10750 11180 13000 13169 13975 16208 17200 20260 21500 22360 25325 26000 26338 27950 40520 43000 43559 44720 50650 52676 55900 65845 69875 81040 86000 87118 101300 105352 111800 126625 131690 139750 174236 202600 210704 217795 223600 253250 263380 279500 329225 348472 405200 435590 506500 526760 559000 566267 658450 696944 871180 1013000 1053520 1088975 1118000 1132534 1316900 1646125 1742360 2026000 2177950 2265068 2633800 2831335 3292250 3484720 4355900 4530136 5267600 5444875 5662670 6584500 8711800 9060272 10889750 11325340 13169000 14156675 17423600 21779500 22650680 26338000 28313350 43559000 45301360 56626700 70783375 87118000 113253400 141566750 226506800 283133500 566267000 1132534000