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1134232000 = 26531112889
BaseRepresentation
bin100001110011011…
…0000000111000000
32221001020221210121
41003212300013000
54310330411000
6304314310024
740051545556
oct10346600700
92831227717
101134232000
11532276320
12277a28314
13150ca7cc5
14aa8cdbd6
1569898b1a
hex439b01c0

1134232000 has 112 divisors (see below), whose sum is σ = 3064520160. Its totient is φ = 412416000.

The previous prime is 1134231991. The next prime is 1134232063. The reversal of 1134232000 is 2324311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 81556 + ... + 94444.

Almost surely, 21134232000 is an apocalyptic number.

1134232000 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 1134232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532260080).

1134232000 is an abundant number, since it is smaller than the sum of its proper divisors (1930288160).

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

1134232000 is a wasteful number, since it uses less digits than its factorization.

1134232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12927 (or 12907 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1134232000 is about 33678.3610052508. The cubic root of 1134232000 is about 1042.8791030949.

Adding to 1134232000 its reverse (2324311), we get a palindrome (1136556311).

The spelling of 1134232000 in words is "one billion, one hundred thirty-four million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 3520 4000 4400 5500 8000 8800 11000 12889 17600 22000 25778 44000 51556 64445 88000 103112 128890 141779 206224 257780 283558 322225 412448 515560 567116 644450 708895 824896 1031120 1134232 1288900 1417790 1611125 2062240 2268464 2577800 2835580 3222250 3544475 4124480 4536928 5155600 5671160 6444500 7088950 9073856 10311200 11342320 12889000 14177900 17722375 20622400 22684640 25778000 28355800 35444750 45369280 51556000 56711600 70889500 103112000 113423200 141779000 226846400 283558000 567116000 1134232000