Search a number
-
+
5380830 = 234571373
BaseRepresentation
bin10100100001101011011110
3101010101010000
4110201223132
52334141310
6311155130
763510360
oct24415336
911111100
105380830
113045774
121975aa6
131165230
14a00d30
157144c0
hex521ade

5380830 has 160 divisors (see below), whose sum is σ = 18051264. Its totient is φ = 1119744.

The previous prime is 5380811. The next prime is 5380831. The reversal of 5380830 is 380835.

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

It is a Curzon number.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 5380794 and 5380803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5380831) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73674 + ... + 73746.

Almost surely, 25380830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5380830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9025632).

5380830 is an abundant number, since it is smaller than the sum of its proper divisors (12670434).

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

5380830 is a wasteful number, since it uses less digits than its factorization.

5380830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5380830 is about 2319.6616132531. The cubic root of 5380830 is about 175.2332128815.

The spelling of 5380830 in words is "five million, three hundred eighty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 73 78 81 90 91 105 117 126 130 135 146 162 182 189 195 210 219 234 270 273 315 351 365 378 390 405 438 455 511 546 567 585 630 657 702 730 810 819 910 945 949 1022 1053 1095 1134 1170 1314 1365 1533 1638 1755 1890 1898 1971 2106 2190 2457 2555 2730 2835 2847 3066 3285 3510 3942 4095 4599 4745 4914 5110 5265 5670 5694 5913 6570 6643 7371 7665 8190 8541 9198 9490 9855 10530 11826 12285 13286 13797 14235 14742 15330 17082 19710 19929 22995 24570 25623 27594 28470 29565 33215 36855 39858 41391 42705 45990 51246 59130 59787 66430 68985 73710 76869 82782 85410 99645 119574 128115 137970 153738 179361 199290 206955 256230 298935 358722 384345 413910 538083 597870 768690 896805 1076166 1793610 2690415 5380830