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4064580 = 2234513193
BaseRepresentation
bin1111100000010101000100
321122111120000
433200111010
52020031310
6223041300
746356042
oct17402504
97574500
104064580
112326863
121440230
13ac40a0
1477b392
155544c0
hex3e0544

4064580 has 120 divisors (see below), whose sum is σ = 13802712. Its totient is φ = 995328.

The previous prime is 4064579. The next prime is 4064597. The reversal of 4064580 is 854604.

4064580 = 382 + 392 + ... + 2302.

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 4064256 = 18^2 + 2016^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20964 + ... + 21156.

Almost surely, 24064580 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 4064580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6901356).

4064580 is an abundant number, since it is smaller than the sum of its proper divisors (9738132).

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

4064580 is a wasteful number, since it uses less digits than its factorization.

4064580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4064580 is about 2016.0803555414. The cubic root of 4064580 is about 159.5898348436.

It can be divided in two parts, 40 and 64580, that added together give a triangular number (64620 = T359).

The spelling of 4064580 in words is "four million, sixty-four thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 193 195 234 260 270 324 351 386 390 405 468 540 579 585 702 772 780 810 965 1053 1158 1170 1404 1620 1737 1755 1930 2106 2316 2340 2509 2895 3474 3510 3860 4212 5018 5211 5265 5790 6948 7020 7527 8685 10036 10422 10530 11580 12545 15054 15633 17370 20844 21060 22581 25090 26055 30108 31266 34740 37635 45162 50180 52110 62532 67743 75270 78165 90324 104220 112905 135486 150540 156330 203229 225810 270972 312660 338715 406458 451620 677430 812916 1016145 1354860 2032290 4064580