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1081541328 = 243722319993
BaseRepresentation
bin100000001110111…
…0000001011010000
32210101002222210020
41000131300023100
54203333310303
6255153103440
735541643500
oct10035601320
92711088706
101081541328
1150555800a
12262257b80
131430b9caa
14a38d5a00
1564e3ba53
hex407702d0

1081541328 has 120 divisors (see below), whose sum is σ = 3391622208. Its totient is φ = 295561728.

The previous prime is 1081541327. The next prime is 1081541353. The reversal of 1081541328 is 8231451801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081541323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44100 + ... + 64092.

Almost surely, 21081541328 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 1081541328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695811104).

1081541328 is an abundant number, since it is smaller than the sum of its proper divisors (2310080880).

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

1081541328 is a wasteful number, since it uses less digits than its factorization.

1081541328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20041 (or 20028 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1081541328 is about 32886.7956481017. The cubic root of 1081541328 is about 1026.4734163355.

The spelling of 1081541328 in words is "one billion, eighty-one million, five hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 138 147 161 168 184 196 276 294 322 336 368 392 483 552 588 644 784 966 1104 1127 1176 1288 1932 2254 2352 2576 3381 3864 4508 6762 7728 9016 13524 18032 19993 27048 39986 54096 59979 79972 119958 139951 159944 239916 279902 319888 419853 459839 479832 559804 839706 919678 959664 979657 1119608 1379517 1679412 1839356 1959314 2239216 2759034 2938971 3218873 3358824 3678712 3918628 5518068 5877942 6437746 6717648 7357424 7837256 9656619 11036136 11755884 12875492 15674512 19313238 22072272 22532111 23511768 25750984 38626476 45064222 47023536 51501968 67596333 77252952 90128444 135192666 154505904 180256888 270385332 360513776 540770664 1081541328