Search a number
-
+
4046240 = 25511319
BaseRepresentation
bin1111011011110110100000
321121120101202
433123312200
52013434430
6222420332
746251422
oct17336640
97546352
104046240
112314000
1214316a8
13ab8933
14774812
1554dd45
hex3dbda0

4046240 has 96 divisors (see below), whose sum is σ = 11067840. Its totient is φ = 1393920.

The previous prime is 4046239. The next prime is 4046269. The reversal of 4046240 is 426404.

4046240 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212951 + ... + 212969.

It is an arithmetic number, because the mean of its divisors is an integer number (115290).

Almost surely, 24046240 is an apocalyptic number.

4046240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4046240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533920).

4046240 is an abundant number, since it is smaller than the sum of its proper divisors (7021600).

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

4046240 is a wasteful number, since it uses less digits than its factorization.

4046240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4046240 is about 2011.5267833166. The cubic root of 4046240 is about 159.3494417557.

It can be divided in two parts, 40 and 46240, that multiplied together give a square (1849600 = 13602).

The spelling of 4046240 in words is "four million, forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 95 110 121 152 160 176 190 209 220 242 304 352 380 418 440 484 605 608 760 836 880 968 1045 1210 1331 1520 1672 1760 1936 2090 2299 2420 2662 3040 3344 3872 4180 4598 4840 5324 6655 6688 8360 9196 9680 10648 11495 13310 16720 18392 19360 21296 22990 25289 26620 33440 36784 42592 45980 50578 53240 73568 91960 101156 106480 126445 183920 202312 212960 252890 367840 404624 505780 809248 1011560 2023120 4046240