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161409132 = 22335973347
BaseRepresentation
bin10011001111011…
…10100001101100
3102020201102201000
421213232201230
5312310043012
624003320300
73666645363
oct1147564154
9366642630
10161409132
1183125085
1246080090
1327594c81
14176187da
15e284ddc
hex99ee86c

161409132 has 96 divisors (see below), whose sum is σ = 432633600. Its totient is φ = 52016256.

The previous prime is 161409121. The next prime is 161409197. The reversal of 161409132 is 231904161.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 161409096 and 161409105.

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, 464983 + ... + 465329.

It is an arithmetic number, because the mean of its divisors is an integer number (4506600).

Almost surely, 2161409132 is an apocalyptic number.

161409132 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 161409132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216316800).

161409132 is an abundant number, since it is smaller than the sum of its proper divisors (271224468).

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

161409132 is a wasteful number, since it uses less digits than its factorization.

161409132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 161409132 is about 12704.6893704647. The cubic root of 161409132 is about 544.4726059877.

The spelling of 161409132 in words is "one hundred sixty-one million, four hundred nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 73 108 118 146 177 219 236 292 347 354 438 531 657 694 708 876 1041 1062 1314 1388 1593 1971 2082 2124 2628 3123 3186 3942 4164 4307 6246 6372 7884 8614 9369 12492 12921 17228 18738 20473 25331 25842 37476 38763 40946 50662 51684 61419 75993 77526 81892 101324 116289 122838 151986 155052 184257 227979 232578 245676 303972 368514 455958 465156 552771 683937 737028 911916 1105542 1367874 1494529 2211084 2735748 2989058 4483587 5978116 8967174 13450761 17934348 26901522 40352283 53803044 80704566 161409132