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161948136 = 23373103191
BaseRepresentation
bin10011010011100…
…10000111101000
3102021201211002010
421221302013220
5312424320021
624023035520
74004352000
oct1151620750
9367654063
10161948136
1183463039
124629bba0
13277233cc
1417719000
15e33e976
hex9a721e8

161948136 has 128 divisors (see below), whose sum is σ = 479232000. Its totient is φ = 45581760.

The previous prime is 161948119. The next prime is 161948159. The reversal of 161948136 is 631849161.

Its product of digits (31104) is a multiple of the sum of its prime factors (324).

It is a junction number, because it is equal to n+sod(n) for n = 161948094 and 161948103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847801 + ... + 847991.

It is an arithmetic number, because the mean of its divisors is an integer number (3744000).

Almost surely, 2161948136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161948136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239616000).

161948136 is an abundant number, since it is smaller than the sum of its proper divisors (317283864).

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

161948136 is a wasteful number, since it uses less digits than its factorization.

161948136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 306 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 161948136 is about 12725.8844879246. The cubic root of 161948136 is about 545.0779968611.

The spelling of 161948136 in words is "one hundred sixty-one million, nine hundred forty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 103 147 168 191 196 206 294 309 343 382 392 412 573 588 618 686 721 764 824 1029 1146 1176 1236 1337 1372 1442 1528 2058 2163 2292 2472 2674 2744 2884 4011 4116 4326 4584 5047 5348 5768 8022 8232 8652 9359 10094 10696 15141 16044 17304 18718 19673 20188 28077 30282 32088 35329 37436 39346 40376 56154 59019 60564 65513 70658 74872 78692 105987 112308 118038 121128 131026 137711 141316 157384 196539 211974 224616 236076 262052 275422 282632 393078 413133 423948 472152 524104 550844 786156 826266 847896 963977 1101688 1572312 1652532 1927954 2891931 3305064 3855908 5783862 6747839 7711816 11567724 13495678 20243517 23135448 26991356 40487034 53982712 80974068 161948136