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3260985984 = 273223312149
BaseRepresentation
bin1100001001011110…
…1011001010000000
322102021010020210200
43002113223022000
523134303022414
61255330125200
7143544631524
oct30227531200
98367106720
103260985984
111423818043
12770120800
133cc7a2509
1422d141d84
15141448109
hexc25eb280

3260985984 has 96 divisors (see below), whose sum is σ = 9424876500. Its totient is φ = 1082241024.

The previous prime is 3260985971. The next prime is 3260985989. The reversal of 3260985984 is 4895890623.

It can be written as a sum of positive squares in 2 ways, for example, as 3167438400 + 93547584 = 56280^2 + 9672^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 3260985984.

It is not an unprimeable number, because it can be changed into a prime (3260985989) 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 11 ways as a sum of consecutive naturals, for example, 262342 + ... + 274490.

Almost surely, 23260985984 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 3260985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712438250).

3260985984 is an abundant number, since it is smaller than the sum of its proper divisors (6163890516).

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

3260985984 is a wasteful number, since it uses less digits than its factorization.

3260985984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12402 (or 12387 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 3260985984 is about 57105.0434199993. The cubic root of 3260985984 is about 1482.9151794045.

The spelling of 3260985984 in words is "three billion, two hundred sixty million, nine hundred eighty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 233 288 384 466 576 699 932 1152 1398 1864 2097 2796 3728 4194 5592 7456 8388 11184 12149 14912 16776 22368 24298 29824 33552 36447 44736 48596 67104 72894 89472 97192 109341 134208 145788 194384 218682 268416 291576 388768 437364 583152 777536 874728 1166304 1555072 1749456 2332608 2830717 3498912 4665216 5661434 6997824 8492151 11322868 13995648 16984302 22645736 25476453 33968604 45291472 50952906 67937208 90582944 101905812 135874416 181165888 203811624 271748832 362331776 407623248 543497664 815246496 1086995328 1630492992 3260985984