Search a number
-
+
196831180 = 225713831303
BaseRepresentation
bin10111011101101…
…10011111001100
3111201101001121201
423232312133030
5400342044210
631310435244
74610015560
oct1356663714
9451331551
10196831180
11a11191a7
1255b02b24
1331a17b70
141c1d96a0
151243053a
hexbbb67cc

196831180 has 96 divisors (see below), whose sum is σ = 515257344. Its totient is φ = 61496064.

The previous prime is 196831169. The next prime is 196831181. The reversal of 196831180 is 81138691.

It is not an unprimeable number, because it can be changed into a prime (196831181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150409 + ... + 151711.

It is an arithmetic number, because the mean of its divisors is an integer number (5367264).

Almost surely, 2196831180 is an apocalyptic number.

196831180 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 196831180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257628672).

196831180 is an abundant number, since it is smaller than the sum of its proper divisors (318426164).

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

196831180 is a wasteful number, since it uses less digits than its factorization.

196831180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 196831180 is about 14029.6535951534. The cubic root of 196831180 is about 581.6985287356.

The spelling of 196831180 in words is "one hundred ninety-six million, eight hundred thirty-one thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 83 91 130 140 166 182 260 332 364 415 455 581 830 910 1079 1162 1303 1660 1820 2158 2324 2606 2905 4316 5212 5395 5810 6515 7553 9121 10790 11620 13030 15106 16939 18242 21580 26060 30212 33878 36484 37765 45605 67756 75530 84695 91210 108149 118573 151060 169390 182420 216298 237146 338780 432596 474292 540745 592865 757043 1081490 1185730 1405937 1514086 2162980 2371460 2811874 3028172 3785215 5623748 7029685 7570430 9841559 14059370 15140860 19683118 28118740 39366236 49207795 98415590 196831180