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3960090596 = 2271123691809
BaseRepresentation
bin1110110000001010…
…0010111111100100
3101012222121110001002
43230002202333210
531102240344341
61452542252432
7200064133430
oct35402427744
911188543032
103960090596
111752405750
12926287118
134b158a197
14297d259c0
151829e029b
hexec0a2fe4

3960090596 has 96 divisors (see below), whose sum is σ = 9040066560. Its totient is φ = 1471852800.

The previous prime is 3960090593. The next prime is 3960090613. The reversal of 3960090596 is 6950900693.

3960090596 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3960090596.

It is not an unprimeable number, because it can be changed into a prime (3960090593) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4894640 + ... + 4895448.

It is an arithmetic number, because the mean of its divisors is an integer number (94167360).

Almost surely, 23960090596 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 3960090596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520033280).

3960090596 is an abundant number, since it is smaller than the sum of its proper divisors (5079975964).

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

3960090596 is a wasteful number, since it uses less digits than its factorization.

3960090596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 47.

The square root of 3960090596 is about 62929.2507185649. The cubic root of 3960090596 is about 1582.1040435173.

The spelling of 3960090596 in words is "three billion, nine hundred sixty million, ninety thousand, five hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 644 691 809 1012 1382 1618 1771 2764 3236 3542 4837 5663 7084 7601 8899 9674 11326 15202 15893 17798 18607 19348 22652 30404 31786 35596 37214 53207 62293 63572 74428 106414 111251 124586 130249 174823 204677 212828 222502 249172 260498 349646 409354 445004 520996 559019 699292 818708 1118038 1223761 1432739 2236076 2447522 2865478 3913133 4895044 5730956 6149209 7826266 12298418 12857437 15652532 24596836 25714874 43044463 51429748 86088926 90002059 141431807 172177852 180004118 282863614 360008236 565727228 990022649 1980045298 3960090596