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1132857648 = 2432131993041
BaseRepresentation
bin100001110000110…
…0000100100110000
32220221200010112200
41003201200210300
54310002421043
6304225023200
740034062656
oct10341404460
92827603480
101132857648
1153151779a
12277484b00
13150916590
14aa652dd6
15696c67d3
hex43860930

1132857648 has 120 divisors (see below), whose sum is σ = 3432592800. Its totient is φ = 346705920.

The previous prime is 1132857629. The next prime is 1132857673. The reversal of 1132857648 is 8467582311.

1132857648 is a `hidden beast` number, since 1 + 1 + 32 + 8 + 576 + 48 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371008 + ... + 374048.

It is an arithmetic number, because the mean of its divisors is an integer number (28604940).

Almost surely, 21132857648 is an apocalyptic number.

1132857648 is a gapful number since it is divisible by the number (18) 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 1132857648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716296400).

1132857648 is an abundant number, since it is smaller than the sum of its proper divisors (2299735152).

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

1132857648 is a wasteful number, since it uses less digits than its factorization.

1132857648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3258 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1132857648 is about 33657.9507397584. The cubic root of 1132857648 is about 1042.4577130338.

The spelling of 1132857648 in words is "one billion, one hundred thirty-two million, eight hundred fifty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 199 208 234 312 398 468 597 624 796 936 1194 1592 1791 1872 2388 2587 3041 3184 3582 4776 5174 6082 7164 7761 9123 9552 10348 12164 14328 15522 18246 20696 23283 24328 27369 28656 31044 36492 39533 41392 46566 48656 54738 62088 72984 79066 93132 109476 118599 124176 145968 158132 186264 218952 237198 316264 355797 372528 437904 474396 605159 632528 711594 948792 1210318 1423188 1815477 1897584 2420636 2846376 3630954 4841272 5446431 5692752 7261908 7867067 9682544 10892862 14523816 15734134 21785724 23601201 29047632 31468268 43571448 47202402 62936536 70803603 87142896 94404804 125873072 141607206 188809608 283214412 377619216 566428824 1132857648