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1131045552 = 243371328771
BaseRepresentation
bin100001101101010…
…0110001010110000
32220211021001211000
41003122212022300
54304021424202
6304122122000
740012504620
oct10332461260
92824231730
101131045552
1153049a29a
12276950300
13150430830
14aa300880
156946991c
hex436a62b0

1131045552 has 160 divisors (see below), whose sum is σ = 3995855360. Its totient is φ = 298287360.

The previous prime is 1131045551. The next prime is 1131045583. The reversal of 1131045552 is 2555401311.

1131045552 is a `hidden beast` number, since 1 + 1 + 3 + 104 + 5 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1131045551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24927 + ... + 53697.

It is an arithmetic number, because the mean of its divisors is an integer number (24974096).

Almost surely, 21131045552 is an apocalyptic number.

1131045552 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 1131045552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997927680).

1131045552 is an abundant number, since it is smaller than the sum of its proper divisors (2864809808).

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

1131045552 is a wasteful number, since it uses less digits than its factorization.

1131045552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28808 (or 28796 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1131045552 is about 33631.0206803183. The cubic root of 1131045552 is about 1041.9015850357.

Adding to 1131045552 its reverse (2555401311), we get a palindrome (3686446863).

The spelling of 1131045552 in words is "one billion, one hundred thirty-one million, forty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 4368 4914 5616 6552 9828 13104 19656 28771 39312 57542 86313 115084 172626 201397 230168 258939 345252 374023 402794 460336 517878 604191 690504 748046 776817 805588 1035756 1122069 1208382 1381008 1496092 1553634 1611176 1812573 2071512 2244138 2416764 2618161 2992184 3107268 3222352 3366207 3625146 4143024 4488276 4833528 5236322 5437719 5984368 6214536 6732414 7250292 7854483 8976552 9667056 10098621 10472644 10875438 12429072 13464828 14500584 15708966 17953104 20197242 20945288 21750876 23563449 26929656 29001168 31417932 40394484 41890576 43501752 47126898 53859312 62835864 70690347 80788968 87003504 94253796 125671728 141380694 161577936 188507592 282761388 377015184 565522776 1131045552