Search a number
-
+
4099440 = 2435192931
BaseRepresentation
bin1111101000110101110000
321201021101010
433220311300
52022140230
6223510520
746562502
oct17506560
97637333
104099440
11234aa74
121458440
13b06c07
14789d72
1555e9b0
hex3e8d70

4099440 has 160 divisors (see below), whose sum is σ = 14284800. Its totient is φ = 967680.

The previous prime is 4099369. The next prime is 4099441. The reversal of 4099440 is 449904.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4099398 and 4099407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4099441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132225 + ... + 132255.

It is an arithmetic number, because the mean of its divisors is an integer number (89280).

Almost surely, 24099440 is an apocalyptic number.

4099440 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 4099440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142400).

4099440 is an abundant number, since it is smaller than the sum of its proper divisors (10185360).

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

4099440 is a wasteful number, since it uses less digits than its factorization.

4099440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4099440 is about 2024.7073862660. The cubic root of 4099440 is about 160.0447791332.

The spelling of 4099440 in words is "four million, ninety-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 29 30 31 38 40 48 57 58 60 62 76 80 87 93 95 114 116 120 124 145 152 155 174 186 190 228 232 240 248 285 290 304 310 348 372 380 435 456 464 465 496 551 570 580 589 620 696 744 760 870 899 912 930 1102 1140 1160 1178 1240 1392 1488 1520 1653 1740 1767 1798 1860 2204 2280 2320 2356 2480 2697 2755 2945 3306 3480 3534 3596 3720 4408 4495 4560 4712 5394 5510 5890 6612 6960 7068 7192 7440 8265 8816 8835 8990 9424 10788 11020 11780 13224 13485 14136 14384 16530 17081 17670 17980 21576 22040 23560 26448 26970 28272 33060 34162 35340 35960 43152 44080 47120 51243 53940 66120 68324 70680 71920 85405 102486 107880 132240 136648 141360 170810 204972 215760 256215 273296 341620 409944 512430 683240 819888 1024860 1366480 2049720 4099440