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1084607920 = 245114328663
BaseRepresentation
bin100000010100101…
…1100110110110000
32210120212210100201
41000221130312300
54210124423140
6255342524544
735610005134
oct10051346660
92716783321
101084607920
11507261a90
12263296754
13143921a46
14a40933c4
156534549a
hex40a5cdb0

1084607920 has 80 divisors (see below), whose sum is σ = 2815034112. Its totient is φ = 385217280.

The previous prime is 1084607911. The next prime is 1084607921. The reversal of 1084607920 is 297064801.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1084607920.

It is not an unprimeable number, because it can be changed into a prime (1084607921) 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 15 ways as a sum of consecutive naturals, for example, 23509 + ... + 52171.

Almost surely, 21084607920 is an apocalyptic number.

1084607920 is a gapful number since it is divisible by the number (10) 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 1084607920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407517056).

1084607920 is an abundant number, since it is smaller than the sum of its proper divisors (1730426192).

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

1084607920 is a wasteful number, since it uses less digits than its factorization.

1084607920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28730 (or 28724 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 1084607920 is about 32933.3860998228. The cubic root of 1084607920 is about 1027.4426518471.

The spelling of 1084607920 in words is "one billion, eighty-four million, six hundred seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 215 220 344 430 440 473 688 860 880 946 1720 1892 2365 3440 3784 4730 7568 9460 18920 28663 37840 57326 114652 143315 229304 286630 315293 458608 573260 630586 1146520 1232509 1261172 1576465 2293040 2465018 2522344 3152930 4930036 5044688 6162545 6305860 9860072 12325090 12611720 13557599 19720144 24650180 25223440 27115198 49300360 54230396 67787995 98600720 108460792 135575990 216921584 271151980 542303960 1084607920