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1153045000 = 23543143173
BaseRepresentation
bin100010010111010…
…0001001000001000
32222100122202101101
41010232201020020
54330134420000
6310225431144
740400502142
oct10456411010
92870582341
101153045000
11541955858
1228219b4b4
13154b64063
14ad1c9c92
156b362e6a
hex44ba1208

1153045000 has 160 divisors (see below), whose sum is σ = 2870081280. Its totient is φ = 433440000.

The previous prime is 1153044983. The next prime is 1153045007. The reversal of 1153045000 is 5403511.

It is not an unprimeable number, because it can be changed into a prime (1153045007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6664914 + ... + 6665086.

It is an arithmetic number, because the mean of its divisors is an integer number (17938008).

Almost surely, 21153045000 is an apocalyptic number.

1153045000 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 1153045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435040640).

1153045000 is an abundant number, since it is smaller than the sum of its proper divisors (1717036280).

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

1153045000 is a wasteful number, since it uses less digits than its factorization.

1153045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 1153045000 is about 33956.5163113061. The cubic root of 1153045000 is about 1048.6134381319.

Adding to 1153045000 its reverse (5403511), we get a palindrome (1158448511).

The spelling of 1153045000 in words is "one billion, one hundred fifty-three million, forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 43 50 62 86 100 124 125 155 172 173 200 215 248 250 310 344 346 430 500 620 625 692 775 860 865 1000 1075 1240 1250 1333 1384 1550 1720 1730 2150 2500 2666 3100 3460 3875 4300 4325 5000 5332 5363 5375 6200 6665 6920 7439 7750 8600 8650 10664 10726 10750 13330 14878 15500 17300 19375 21452 21500 21625 26660 26815 26875 29756 31000 33325 34600 37195 38750 42904 43000 43250 53320 53630 53750 59512 66650 74390 77500 86500 107260 107500 108125 133300 134075 148780 155000 166625 173000 185975 214520 215000 216250 230609 266600 268150 297560 333250 371950 432500 461218 536300 666500 670375 743900 833125 865000 922436 929875 1072600 1153045 1333000 1340750 1487800 1666250 1844872 1859750 2306090 2681500 3332500 3351875 3719500 4612180 4649375 5363000 5765225 6665000 6703750 7439000 9224360 9298750 11530450 13407500 18597500 23060900 26815000 28826125 37195000 46121800 57652250 115304500 144130625 230609000 288261250 576522500 1153045000