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1325556320 = 255111017457
BaseRepresentation
bin100111100000010…
…0110001001100000
310102101021020102112
41033000212021200
510203320300240
6335311134452
744564020454
oct11700461140
93371236375
101325556320
116202730a0
1230bb14428
1318181546a
14c8094664
157b58c665
hex4f026260

1325556320 has 96 divisors (see below), whose sum is σ = 3450607776. Its totient is φ = 477184000.

The previous prime is 1325556307. The next prime is 1325556367. The reversal of 1325556320 is 236555231.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 174032 + ... + 181488.

It is an arithmetic number, because the mean of its divisors is an integer number (35943831).

Almost surely, 21325556320 is an apocalyptic number.

1325556320 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 1325556320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725303888).

1325556320 is an abundant number, since it is smaller than the sum of its proper divisors (2125051456).

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

1325556320 is a wasteful number, since it uses less digits than its factorization.

1325556320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 1325556320 is about 36408.1902873516. The cubic root of 1325556320 is about 1098.4983145153.

The spelling of 1325556320 in words is "one billion, three hundred twenty-five million, five hundred fifty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 101 110 160 176 202 220 352 404 440 505 808 880 1010 1111 1616 1760 2020 2222 3232 4040 4444 5555 7457 8080 8888 11110 14914 16160 17776 22220 29828 35552 37285 44440 59656 74570 82027 88880 119312 149140 164054 177760 238624 298280 328108 410135 596560 656216 753157 820270 1193120 1312432 1506314 1640540 2624864 3012628 3281080 3765785 6025256 6562160 7531570 8284727 12050512 13124320 15063140 16569454 24101024 30126280 33138908 41423635 60252560 66277816 82847270 120505120 132555632 165694540 265111264 331389080 662778160 1325556320