Search a number
-
+
1131831456 = 25375928547
BaseRepresentation
bin100001101110110…
…0110000010100000
32220212201222212120
41003131212002200
54304222101311
6304151024240
740022260110
oct10335460240
92825658776
101131831456
115309867a8
1227706b080
13150647472
14aa467040
1569572706
hex437660a0

1131831456 has 96 divisors (see below), whose sum is σ = 3453166080. Its totient is φ = 317888256.

The previous prime is 1131831431. The next prime is 1131831461. The reversal of 1131831456 is 6541381311.

It is a tau number, because it is divible by the number of its divisors (96).

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, 25375 + ... + 53921.

It is an arithmetic number, because the mean of its divisors is an integer number (35970480).

Almost surely, 21131831456 is an apocalyptic number.

1131831456 is a gapful number since it is divisible by the number (16) 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 1131831456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726583040).

1131831456 is an abundant number, since it is smaller than the sum of its proper divisors (2321334624).

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

1131831456 is a wasteful number, since it uses less digits than its factorization.

1131831456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28626 (or 28618 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 1131831456 is about 33642.7028640685. The cubic root of 1131831456 is about 1042.1428500139.

The spelling of 1131831456 in words is "one billion, one hundred thirty-one million, eight hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 84 96 112 118 168 177 224 236 336 354 413 472 672 708 826 944 1239 1416 1652 1888 2478 2832 3304 4956 5664 6608 9912 13216 19824 28547 39648 57094 85641 114188 171282 199829 228376 342564 399658 456752 599487 685128 799316 913504 1198974 1370256 1598632 1684273 2397948 2740512 3197264 3368546 4795896 5052819 6394528 6737092 9591792 10105638 11789911 13474184 19183584 20211276 23579822 26948368 35369733 40422552 47159644 53896736 70739466 80845104 94319288 141478932 161690208 188638576 282957864 377277152 565915728 1131831456