Search a number
-
+
5634090 = 2335711271
BaseRepresentation
bin10101011111100000101010
3101121020112000
4111133200222
52420242330
6320431430
765613630
oct25374052
911536460
105634090
1131a8a80
121a78576
1312235a7
14a69350
15764560
hex55f82a

5634090 has 128 divisors (see below), whose sum is σ = 18800640. Its totient is φ = 1166400.

The previous prime is 5634073. The next prime is 5634107. The reversal of 5634090 is 904365.

5634090 = 4352 + 4362 + ... + 4622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5634073) and next prime (5634107).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20655 + ... + 20925.

It is an arithmetic number, because the mean of its divisors is an integer number (146880).

Almost surely, 25634090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5634090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9400320).

5634090 is an abundant number, since it is smaller than the sum of its proper divisors (13166550).

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

5634090 is a wasteful number, since it uses less digits than its factorization.

5634090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5634090 is about 2373.6238118118. The cubic root of 5634090 is about 177.9404126601.

The spelling of 5634090 in words is "five million, six hundred thirty-four thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 126 135 154 165 189 198 210 231 270 271 297 315 330 378 385 462 495 542 594 630 693 770 813 945 990 1155 1355 1386 1485 1626 1890 1897 2079 2310 2439 2710 2970 2981 3465 3794 4065 4158 4878 5691 5962 6930 7317 8130 8943 9485 10395 11382 12195 14634 14905 17073 17886 18970 20790 20867 24390 26829 28455 29810 34146 36585 41734 44715 51219 53658 56910 62601 73170 80487 85365 89430 102438 104335 125202 134145 160974 170730 187803 208670 256095 268290 313005 375606 402435 512190 563409 626010 804870 939015 1126818 1878030 2817045 5634090