Search a number
-
+
1100425872 = 2437131911319
BaseRepresentation
bin100000110010111…
…0010101010010000
32211200122102111210
41001211302222100
54223202111442
6301105540120
736161315460
oct10145625220
92750572453
101100425872
11515186277
12268644640
13146c9c790
14a620dba0
156691c19c
hex41972a90

1100425872 has 160 divisors (see below), whose sum is σ = 3519774720. Its totient is φ = 288483840.

The previous prime is 1100425849. The next prime is 1100425873. The reversal of 1100425872 is 2785240011.

It is not an unprimeable number, because it can be changed into a prime (1100425873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833629 + ... + 834947.

It is an arithmetic number, because the mean of its divisors is an integer number (21998592).

Almost surely, 21100425872 is an apocalyptic number.

1100425872 is a gapful number since it is divisible by the number (12) 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 1100425872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759887360).

1100425872 is an abundant number, since it is smaller than the sum of its proper divisors (2419348848).

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

1100425872 is a wasteful number, since it uses less digits than its factorization.

1100425872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 1100425872 is about 33172.6675442298. The cubic root of 1100425872 is about 1032.4133162066.

Adding to 1100425872 its reverse (2785240011), we get a palindrome (3885665883).

The spelling of 1100425872 in words is "one billion, one hundred million, four hundred twenty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 191 208 273 312 336 364 382 546 573 624 728 764 1092 1146 1319 1337 1456 1528 2184 2292 2483 2638 2674 3056 3957 4011 4368 4584 4966 5276 5348 7449 7914 8022 9168 9233 9932 10552 10696 14898 15828 16044 17147 17381 18466 19864 21104 21392 27699 29796 31656 32088 34294 34762 36932 39728 51441 52143 55398 59592 63312 64176 68588 69524 73864 102882 104286 110796 119184 120029 137176 139048 147728 205764 208572 221592 240058 251929 274352 278096 360087 411528 417144 443184 480116 503858 720174 755787 823056 834288 960232 1007716 1440348 1511574 1763503 1920464 2015432 2880696 3023148 3275077 3527006 4030864 5290509 5761392 6046296 6550154 7054012 9825231 10581018 12092592 13100308 14108024 19650462 21162036 22925539 26200616 28216048 39300924 42324072 45851078 52401232 68776617 78601848 84648144 91702156 137553234 157203696 183404312 275106468 366808624 550212936 1100425872