Search a number
-
+
5631080 = 2357213217
BaseRepresentation
bin10101011110110001101000
3101121002101112
4111132301220
52420143310
6320405452
765602100
oct25366150
911532345
105631080
1131a6794
121a76888
131222100
14a68200
15763705
hex55ec68

5631080 has 144 divisors (see below), whose sum is σ = 16898220. Its totient is φ = 1677312.

The previous prime is 5631077. The next prime is 5631083. The reversal of 5631080 is 801365.

5631080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5631077) and next prime (5631083).

It can be written as a sum of positive squares in 6 ways, for example, as 1162084 + 4468996 = 1078^2 + 2114^2 .

It is not an unprimeable number, because it can be changed into a prime (5631083) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331232 + ... + 331248.

Almost surely, 25631080 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 5631080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8449110).

5631080 is an abundant number, since it is smaller than the sum of its proper divisors (11267140).

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

5631080 is a wasteful number, since it uses less digits than its factorization.

5631080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 5631080 is about 2372.9896754938. The cubic root of 5631080 is about 177.9087189259.

The spelling of 5631080 in words is "five million, six hundred thirty-one thousand, eighty".

Divisors: 1 2 4 5 7 8 10 13 14 17 20 26 28 34 35 40 49 52 56 65 68 70 85 91 98 104 119 130 136 140 169 170 182 196 221 238 245 260 280 338 340 364 392 442 455 476 490 520 595 637 676 680 728 833 845 884 910 952 980 1105 1183 1190 1274 1352 1547 1666 1690 1768 1820 1960 2210 2366 2380 2548 2873 3094 3185 3332 3380 3640 4165 4420 4732 4760 5096 5746 5915 6188 6370 6664 6760 7735 8281 8330 8840 9464 10829 11492 11830 12376 12740 14365 15470 16562 16660 20111 21658 22984 23660 25480 28730 30940 33124 33320 40222 41405 43316 47320 54145 57460 61880 66248 80444 82810 86632 100555 108290 114920 140777 160888 165620 201110 216580 281554 331240 402220 433160 563108 703885 804440 1126216 1407770 2815540 5631080