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1153141240 = 235471016073
BaseRepresentation
bin100010010111011…
…1000100111111000
32222100211122101211
41010232320213320
54330201004430
6310231452504
740401352546
oct10456704770
92870748354
101153141240
11541a11099
12282227134
13154b98ac4
14ad212d96
156b38172a
hex44bb89f8

1153141240 has 64 divisors (see below), whose sum is σ = 2676447360. Its totient is φ = 446899200.

The previous prime is 1153141237. The next prime is 1153141259. The reversal of 1153141240 is 421413511.

1153141240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186844 + ... + 192916.

It is an arithmetic number, because the mean of its divisors is an integer number (41819490).

Almost surely, 21153141240 is an apocalyptic number.

1153141240 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 1153141240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338223680).

1153141240 is an abundant number, since it is smaller than the sum of its proper divisors (1523306120).

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

1153141240 is a wasteful number, since it uses less digits than its factorization.

1153141240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6232 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1153141240 is about 33957.9333882379. The cubic root of 1153141240 is about 1048.6426118269.

Adding to 1153141240 its reverse (421413511), we get a palindrome (1574554751).

The spelling of 1153141240 in words is "one billion, one hundred fifty-three million, one hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 101 188 202 235 376 404 470 505 808 940 1010 1880 2020 4040 4747 6073 9494 12146 18988 23735 24292 30365 37976 47470 48584 60730 94940 121460 189880 242920 285431 570862 613373 1141724 1226746 1427155 2283448 2453492 2854310 3066865 4906984 5708620 6133730 11417240 12267460 24534920 28828531 57657062 115314124 144142655 230628248 288285310 576570620 1153141240