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1085514480 = 24335502553
BaseRepresentation
bin100000010110011…
…1010001011110000
32210122120211221000
41000230322023300
54210342430410
6255414202000
735620502151
oct10054721360
92718524830
101085514480
11507821106
12263653300
13143b7b57b
14a424b928
1565473dc0
hex40b3a2f0

1085514480 has 80 divisors (see below), whose sum is σ = 3739001760. Its totient is φ = 289469952.

The previous prime is 1085514467. The next prime is 1085514539. The reversal of 1085514480 is 844155801.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 249117 + ... + 253436.

It is an arithmetic number, because the mean of its divisors is an integer number (46737522).

Almost surely, 21085514480 is an apocalyptic number.

1085514480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085514480 is an abundant number, since it is smaller than the sum of its proper divisors (2653487280).

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

1085514480 is a wasteful number, since it uses less digits than its factorization.

1085514480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502575 (or 502563 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 1085514480 is about 32947.1467656913. The cubic root of 1085514480 is about 1027.7288317659.

The spelling of 1085514480 in words is "one billion, eighty-five million, five hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 502553 1005106 1507659 2010212 2512765 3015318 4020424 4522977 5025530 6030636 7538295 8040848 9045954 10051060 12061272 13568931 15076590 18091908 20102120 22614885 24122544 27137862 30153180 36183816 40204240 45229770 54275724 60306360 67844655 72367632 90459540 108551448 120612720 135689310 180919080 217102896 271378620 361838160 542757240 1085514480