Search a number
-
+
188280540 = 223257221347
BaseRepresentation
bin10110011100011…
…10111011011100
3111010021122100100
423032032323130
5341144434130
630403301100
74444233600
oct1316167334
9433248310
10188280540
1197308a58
125307a790
1330012c06
141b011500
15117e1c60
hexb38eedc

188280540 has 108 divisors (see below), whose sum is σ = 664392456. Its totient is φ = 43033536.

The previous prime is 188280529. The next prime is 188280551. The reversal of 188280540 is 45082881.

It is an interprime number because it is at equal distance from previous prime (188280529) and next prime (188280551).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 188280495 and 188280504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1854 + ... + 19493.

It is an arithmetic number, because the mean of its divisors is an integer number (6151782).

Almost surely, 2188280540 is an apocalyptic number.

188280540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188280540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332196228).

188280540 is an abundant number, since it is smaller than the sum of its proper divisors (476111916).

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

188280540 is a wasteful number, since it uses less digits than its factorization.

188280540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21376 (or 21364 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 188280540 is about 13721.5356283471. The cubic root of 188280540 is about 573.1502397447.

The spelling of 188280540 in words is "one hundred eighty-eight million, two hundred eighty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 21347 42694 64041 85388 106735 128082 149429 192123 213470 256164 298858 320205 384246 426940 448287 597716 640410 747145 768492 896574 960615 1046003 1280820 1344861 1494290 1793148 1921230 2092006 2241435 2689722 2988580 3138009 3842460 4184012 4482870 5230015 5379444 6276018 6724305 8965740 9414027 10460030 12552036 13448610 15690045 18828054 20920060 26897220 31380090 37656108 47070135 62760180 94140270 188280540