Search a number
-
+
1081611328 = 26719314099
BaseRepresentation
bin100000001111000…
…0001010001000000
32210101020112210211
41000132001101000
54203343030303
6255154403504
735542354540
oct10036012100
92711215724
101081611328
115055a5666
12262290594
13143112b05
14a3913320
1564e5266d
hex40781440

1081611328 has 112 divisors (see below), whose sum is σ = 2665984000. Its totient is φ = 424880640.

The previous prime is 1081611239. The next prime is 1081611331. The reversal of 1081611328 is 8231161801.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 1081611328.

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, 261823 + ... + 265921.

Almost surely, 21081611328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1081611328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332992000).

1081611328 is an abundant number, since it is smaller than the sum of its proper divisors (1584372672).

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

1081611328 is a wasteful number, since it uses less digits than its factorization.

1081611328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4168 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 1081611328 is about 32887.8598878066. The cubic root of 1081611328 is about 1026.4955611478.

The spelling of 1081611328 in words is "one billion, eighty-one million, six hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 64 76 112 124 133 152 217 224 248 266 304 434 448 496 532 589 608 868 992 1064 1178 1216 1736 1984 2128 2356 3472 4099 4123 4256 4712 6944 8198 8246 8512 9424 13888 16396 16492 18848 28693 32792 32984 37696 57386 65584 65968 77881 114772 127069 131168 131936 155762 229544 254138 262336 263872 311524 459088 508276 545167 623048 889483 918176 1016552 1090334 1246096 1778966 1836352 2033104 2180668 2414311 2492192 3557932 4066208 4361336 4828622 4984384 7115864 8132416 8722672 9657244 14231728 16900177 17445344 19314488 28463456 33800354 34890688 38628976 56926912 67600708 77257952 135201416 154515904 270402832 540805664 1081611328