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3990580 = 2251121797
BaseRepresentation
bin1111001110010000110100
321111202001021
433032100310
52010144310
6221310524
745630226
oct17162064
97452037
103990580
112286200
121405444
13a994b9
1475c416
1553c5da
hex3ce434

3990580 has 72 divisors (see below), whose sum is σ = 9853704. Its totient is φ = 1351680.

The previous prime is 3990541. The next prime is 3990593. The reversal of 3990580 is 850993.

3990580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 736164 + 3254416 = 858^2 + 1804^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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 23 ways as a sum of consecutive naturals, for example, 41092 + ... + 41188.

It is an arithmetic number, because the mean of its divisors is an integer number (136857).

Almost surely, 23990580 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 3990580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926852).

3990580 is an abundant number, since it is smaller than the sum of its proper divisors (5863124).

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

3990580 is a wasteful number, since it uses less digits than its factorization.

3990580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 3990580 is about 1997.6436118587. The cubic root of 3990580 is about 158.6153962664.

3990580 divided by its sum of digits (34) gives a triangular number (117370 = T484).

The spelling of 3990580 in words is "three million, nine hundred ninety thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 97 110 121 170 187 194 220 242 340 374 388 484 485 605 748 935 970 1067 1210 1649 1870 1940 2057 2134 2420 3298 3740 4114 4268 5335 6596 8228 8245 10285 10670 11737 16490 18139 20570 21340 23474 32980 36278 41140 46948 58685 72556 90695 117370 181390 199529 234740 362780 399058 798116 997645 1995290 3990580