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1081553568 = 253192232659
BaseRepresentation
bin100000001110111…
…0011001010100000
32210101010121120120
41000131303022200
54203334203233
6255153240240
735542024254
oct10035631240
92711117516
101081553568
11505566227
12262263080
131430c2734
14a38da264
1564e404b3
hex407732a0

1081553568 has 96 divisors (see below), whose sum is σ = 3003033600. Its totient is φ = 339883776.

The previous prime is 1081553567. The next prime is 1081553569. The reversal of 1081553568 is 8653551801.

It is an interprime number because it is at equal distance from previous prime (1081553567) and next prime (1081553569).

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

It is not an unprimeable number, because it can be changed into a prime (1081553567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405423 + ... + 408081.

It is an arithmetic number, because the mean of its divisors is an integer number (31281600).

Almost surely, 21081553568 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 1081553568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501516800).

1081553568 is an abundant number, since it is smaller than the sum of its proper divisors (1921480032).

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

1081553568 is a wasteful number, since it uses less digits than its factorization.

1081553568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The square root of 1081553568 is about 32886.9817405003. The cubic root of 1081553568 is about 1026.4772885831.

The spelling of 1081553568 in words is "one billion, eighty-one million, five hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 223 228 304 446 456 608 669 892 912 1338 1784 1824 2659 2676 3568 4237 5318 5352 7136 7977 8474 10636 10704 12711 15954 16948 21272 21408 25422 31908 33896 42544 50521 50844 63816 67792 85088 101042 101688 127632 135584 151563 202084 203376 255264 303126 404168 406752 592957 606252 808336 1185914 1212504 1616672 1778871 2371828 2425008 3557742 4743656 4850016 7115484 9487312 11266183 14230968 18974624 22532366 28461936 33798549 45064732 56923872 67597098 90129464 135194196 180258928 270388392 360517856 540776784 1081553568