Search a number
-
+
5671120 = 2457131941
BaseRepresentation
bin10101101000100011010000
3101200010022111
4111220203100
52422433440
6321315104
766126610
oct25504320
911603274
105671120
113223884
121a95a94
1312373c0
14a78a40
157704ea
hex5688d0

5671120 has 160 divisors (see below), whose sum is σ = 17498880. Its totient is φ = 1658880.

The previous prime is 5671117. The next prime is 5671147. The reversal of 5671120 is 211765.

It is a junction number, because it is equal to n+sod(n) for n = 5671091 and 5671100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138300 + ... + 138340.

It is an arithmetic number, because the mean of its divisors is an integer number (109368).

Almost surely, 25671120 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 5671120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749440).

5671120 is an abundant number, since it is smaller than the sum of its proper divisors (11827760).

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

5671120 is a wasteful number, since it uses less digits than its factorization.

5671120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 5671120 is about 2381.4113462399. The cubic root of 5671120 is about 178.3293988903.

Adding to 5671120 its reverse (211765), we get a palindrome (5882885).

The spelling of 5671120 in words is "five million, six hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 19 20 26 28 35 38 40 41 52 56 65 70 76 80 82 91 95 104 112 130 133 140 152 164 182 190 205 208 247 260 266 280 287 304 328 364 380 410 455 494 520 532 533 560 574 656 665 728 760 779 820 910 988 1040 1064 1066 1148 1235 1330 1435 1456 1520 1558 1640 1729 1820 1976 2128 2132 2296 2470 2660 2665 2870 3116 3280 3458 3640 3731 3895 3952 4264 4592 4940 5320 5330 5453 5740 6232 6916 7280 7462 7790 8528 8645 9880 10127 10640 10660 10906 11480 12464 13832 14924 15580 17290 18655 19760 20254 21320 21812 22960 27265 27664 29848 31160 34580 37310 40508 42640 43624 50635 54530 59696 62320 69160 70889 74620 81016 87248 101270 109060 138320 141778 149240 162032 202540 218120 283556 298480 354445 405080 436240 567112 708890 810160 1134224 1417780 2835560 5671120