Search a number
-
+
5740350 = 2352721171
BaseRepresentation
bin10101111001011100111110
3101210122021120
4111321130332
52432142400
6323011410
766535500
oct25713476
911718246
105740350
1132708a0
121b09b66
13125ca75
14a95d70
15785ca0
hex57973e

5740350 has 144 divisors (see below), whose sum is σ = 18320256. Its totient is φ = 1176000.

The previous prime is 5740349. The next prime is 5740367. The reversal of 5740350 is 530475.

It is a self number, because there is not a number n which added to its sum of digits gives 5740350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80815 + ... + 80885.

It is an arithmetic number, because the mean of its divisors is an integer number (127224).

Almost surely, 25740350 is an apocalyptic number.

5740350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5740350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160128).

5740350 is an abundant number, since it is smaller than the sum of its proper divisors (12579906).

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

5740350 is a wasteful number, since it uses less digits than its factorization.

5740350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 5740350 is about 2395.9027526175. The cubic root of 5740350 is about 179.0521159486.

The spelling of 5740350 in words is "five million, seven hundred forty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 49 50 55 66 70 71 75 77 98 105 110 142 147 150 154 165 175 210 213 231 245 275 294 330 350 355 385 426 462 490 497 525 539 550 710 735 770 781 825 994 1050 1065 1078 1155 1225 1470 1491 1562 1617 1650 1775 1925 2130 2310 2343 2450 2485 2695 2982 3234 3479 3550 3675 3850 3905 4686 4970 5325 5390 5467 5775 6958 7350 7455 7810 8085 10437 10650 10934 11550 11715 12425 13475 14910 16170 16401 17395 19525 20874 23430 24850 26950 27335 32802 34790 37275 38269 39050 40425 52185 54670 58575 74550 76538 80850 82005 86975 104370 114807 117150 136675 164010 173950 191345 229614 260925 273350 382690 410025 521850 574035 820050 956725 1148070 1913450 2870175 5740350