Search a number
-
+
181199340 = 223257314639
BaseRepresentation
bin10101100110011…
…10000111101100
3110121221212202200
422303032013230
5332341334330
625551421500
74330111650
oct1263160754
9417855680
10181199340
1193311823
1250824890
132b703a5a
141a0caa60
1510d93a60
hexacce1ec

181199340 has 144 divisors (see below), whose sum is σ = 648560640. Its totient is φ = 40072320.

The previous prime is 181199321. The next prime is 181199363. The reversal of 181199340 is 43991181.

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 = 181199295 and 181199304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36741 + ... + 41379.

Almost surely, 2181199340 is an apocalyptic number.

181199340 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 181199340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324280320).

181199340 is an abundant number, since it is smaller than the sum of its proper divisors (467361300).

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

181199340 is a wasteful number, since it uses less digits than its factorization.

181199340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4692 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 181199340 is about 13461.0304211825. The cubic root of 181199340 is about 565.8728670163.

The spelling of 181199340 in words is "one hundred eighty-one million, one hundred ninety-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1085 1116 1260 1302 1395 1860 1953 2170 2604 2790 3255 3906 4340 4639 5580 6510 7812 9278 9765 13020 13917 18556 19530 23195 27834 32473 39060 41751 46390 55668 64946 69585 83502 92780 97419 129892 139170 143809 162365 167004 194838 208755 278340 287618 292257 324730 389676 417510 431427 487095 575236 584514 649460 719045 835020 862854 974190 1006663 1169028 1294281 1438090 1461285 1725708 1948380 2013326 2157135 2588562 2876180 2922570 3019989 4026652 4314270 5033315 5177124 5845140 6039978 6471405 8628540 9059967 10066630 12079956 12942810 15099945 18119934 20133260 25885620 30199890 36239868 45299835 60399780 90599670 181199340