Search a number
-
+
190332912 = 243711232239
BaseRepresentation
bin10110101100000…
…11111111110000
3111021010220200010
423112003333300
5342211123122
630515254520
74500542310
oct1326037760
9437126603
10190332912
119848aa30
12538aa440
1330581133
141b3c7440
1511a99e0c
hexb583ff0

190332912 has 160 divisors (see below), whose sum is σ = 639959040. Its totient is φ = 47266560.

The previous prime is 190332907. The next prime is 190332931. The reversal of 190332912 is 219233091.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 190332912.

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, 83889 + ... + 86127.

It is an arithmetic number, because the mean of its divisors is an integer number (3999744).

Almost surely, 2190332912 is an apocalyptic number.

190332912 is a gapful number since it is divisible by the number (12) 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 190332912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319979520).

190332912 is an abundant number, since it is smaller than the sum of its proper divisors (449626128).

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

190332912 is a wasteful number, since it uses less digits than its factorization.

190332912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 190332912 is about 13796.1194543973. The cubic root of 190332912 is about 575.2252798418.

It can be divided in two parts, 19033 and 2912, that added together give a triangular number (21945 = T209).

The spelling of 190332912 in words is "one hundred ninety million, three hundred thirty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 23 24 28 33 42 44 46 48 56 66 69 77 84 88 92 112 132 138 154 161 168 176 184 231 253 264 276 308 322 336 368 462 483 506 528 552 616 644 759 924 966 1012 1104 1232 1288 1518 1771 1848 1932 2024 2239 2576 3036 3542 3696 3864 4048 4478 5313 6072 6717 7084 7728 8956 10626 12144 13434 14168 15673 17912 21252 24629 26868 28336 31346 35824 42504 47019 49258 51497 53736 62692 73887 85008 94038 98516 102994 107472 125384 147774 154491 172403 188076 197032 205988 250768 295548 308982 344806 360479 376152 394064 411976 517209 566467 591096 617964 689612 720958 752304 823952 1034418 1081437 1132934 1182192 1235928 1379224 1441916 1699401 2068836 2162874 2265868 2471856 2758448 2883832 3398802 3965269 4137672 4325748 4531736 5767664 6797604 7930538 8275344 8651496 9063472 11895807 13595208 15861076 17302992 23791614 27190416 31722152 47583228 63444304 95166456 190332912