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3985760 = 25529859
BaseRepresentation
bin1111001101000101100000
321111111102202
433031011200
52010021020
6221232332
745610202
oct17150540
97444382
103985760
112282619
1214026a8
13a9724c
1475a772
1553ae75
hex3cd160

3985760 has 48 divisors (see below), whose sum is σ = 9752400. Its totient is φ = 1537536.

The previous prime is 3985721. The next prime is 3985777. The reversal of 3985760 is 675893.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4211 + ... + 5069.

It is an arithmetic number, because the mean of its divisors is an integer number (203175).

Almost surely, 23985760 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 3985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876200).

3985760 is an abundant number, since it is smaller than the sum of its proper divisors (5766640).

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

3985760 is a wasteful number, since it uses less digits than its factorization.

3985760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 3985760 is about 1996.4368259477. The cubic root of 3985760 is about 158.5515096279.

The spelling of 3985760 in words is "three million, nine hundred eighty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 859 928 1160 1718 2320 3436 4295 4640 6872 8590 13744 17180 24911 27488 34360 49822 68720 99644 124555 137440 199288 249110 398576 498220 797152 996440 1992880 3985760