Search a number
-
+
1966308372 = 2236796331
BaseRepresentation
bin111010100110011…
…0111110000010100
312002000221211000000
41311030313300110
513011333331442
6523040451300
766504226320
oct16514676024
95060854000
101966308372
11919a25646
1246a619b30
132544abca2
14149208980
15b7959d4c
hex75337c14

1966308372 has 84 divisors (see below), whose sum is σ = 5896289056. Its totient is φ = 561796560.

The previous prime is 1966308359. The next prime is 1966308389. The reversal of 1966308372 is 2738036691.

1966308372 is a `hidden beast` number, since 1 + 9 + 6 + 630 + 8 + 3 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×19663083722 = 7732737227594580768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27754 + ... + 68577.

Almost surely, 21966308372 is an apocalyptic number.

1966308372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1966308372 is an abundant number, since it is smaller than the sum of its proper divisors (3929980684).

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

1966308372 is an equidigital number, since it uses as much as digits as its factorization.

1966308372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96360 (or 96343 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1966308372 is about 44343.0758067142. The cubic root of 1966308372 is about 1252.8061484042.

The spelling of 1966308372 in words is "one billion, nine hundred sixty-six million, three hundred eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2916 3402 5103 6804 10206 20412 96331 192662 288993 385324 577986 674317 866979 1155972 1348634 1733958 2022951 2600937 2697268 3467916 4045902 5201874 6068853 7802811 8091804 10403748 12137706 15605622 18206559 23408433 24275412 31211244 36413118 46816866 54619677 70225299 72826236 93633732 109239354 140450598 163859031 218478708 280901196 327718062 491577093 655436124 983154186 1966308372