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845896680 = 2332510921557
BaseRepresentation
bin110010011010110…
…101101111101000
32011221201000002200
4302122311233220
53213022143210
6215534300200
726651001036
oct6232655750
92157630080
10845896680
113a4539772
121b7357660
131063326a5
14804b5556
154e3e10c0
hex326b5be8

845896680 has 96 divisors (see below), whose sum is σ = 2774514600. Its totient is φ = 223492608.

The previous prime is 845896669. The next prime is 845896703. The reversal of 845896680 is 86698548.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 579750084 + 266146596 = 24078^2 + 16314^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28462 + ... + 50018.

Almost surely, 2845896680 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 845896680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387257300).

845896680 is an abundant number, since it is smaller than the sum of its proper divisors (1928617920).

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

845896680 is a wasteful number, since it uses less digits than its factorization.

845896680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21683 (or 21676 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 845896680 is about 29084.3029828806. The cubic root of 845896680 is about 945.7414857390.

The spelling of 845896680 in words is "eight hundred forty-five million, eight hundred ninety-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 109 120 180 218 327 360 436 545 654 872 981 1090 1308 1635 1962 2180 2616 3270 3924 4360 4905 6540 7848 9810 13080 19620 21557 39240 43114 64671 86228 107785 129342 172456 194013 215570 258684 323355 388026 431140 517368 646710 776052 862280 970065 1293420 1552104 1940130 2349713 2586840 3880260 4699426 7049139 7760520 9398852 11748565 14098278 18797704 21147417 23497130 28196556 35245695 42294834 46994260 56393112 70491390 84589668 93988520 105737085 140982780 169179336 211474170 281965560 422948340 845896680