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1196085132 = 2232115356989
BaseRepresentation
bin100011101001010…
…1100111110001100
310002100122102100100
41013102230332030
54422144211012
6314404131100
741432361444
oct10722547614
93070572310
101196085132
11564182510
12294696a90
13160a535a8
14b4bd1124
15700158dc
hex474acf8c

1196085132 has 72 divisors (see below), whose sum is σ = 3360586320. Its totient is φ = 355605120.

The previous prime is 1196085083. The next prime is 1196085157. The reversal of 1196085132 is 2315806911.

1196085132 is a `hidden beast` number, since 1 + 19 + 608 + 5 + 1 + 32 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7507 + ... + 49482.

It is an arithmetic number, because the mean of its divisors is an integer number (46674810).

Almost surely, 21196085132 is an apocalyptic number.

1196085132 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 1196085132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680293160).

1196085132 is an abundant number, since it is smaller than the sum of its proper divisors (2164501188).

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

1196085132 is a wasteful number, since it uses less digits than its factorization.

1196085132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57063 (or 57058 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1196085132 is about 34584.4637373489. The cubic root of 1196085132 is about 1061.5017079951.

The spelling of 1196085132 in words is "one billion, one hundred ninety-six million, eighty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 132 159 198 212 318 396 477 583 636 954 1166 1749 1908 2332 3498 5247 6996 10494 20988 56989 113978 170967 227956 341934 512901 626879 683868 1025802 1253758 1880637 2051604 2507516 3020417 3761274 5641911 6040834 7522548 9061251 11283822 12081668 18122502 22567644 27183753 33224587 36245004 54367506 66449174 99673761 108735012 132898348 199347522 299021283 398695044 598042566 1196085132