Search a number
-
+
161140356 = 2232132931383
BaseRepresentation
bin10011001101011…
…00111010000100
3102020012210000100
421212230322010
5312222442411
623553444100
73664445646
oct1146547204
9366183010
10161140356
1182a61153
1245b70630
13274cc830
1417588896
15e230456
hex99ace84

161140356 has 144 divisors (see below), whose sum is σ = 469647360. Its totient is φ = 46206720.

The previous prime is 161140321. The next prime is 161140367. The reversal of 161140356 is 653041161.

161140356 is a `hidden beast` number, since 1 + 611 + 40 + 3 + 5 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 420541 + ... + 420923.

It is an arithmetic number, because the mean of its divisors is an integer number (3261440).

Almost surely, 2161140356 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 161140356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234823680).

161140356 is an abundant number, since it is smaller than the sum of its proper divisors (308507004).

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

161140356 is a wasteful number, since it uses less digits than its factorization.

161140356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 161140356 is about 12694.1071367781. The cubic root of 161140356 is about 544.1702222855.

The spelling of 161140356 in words is "one hundred sixty-one million, one hundred forty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 31 36 39 52 58 62 78 87 93 116 117 124 156 174 186 234 261 279 348 372 377 383 403 468 522 558 754 766 806 899 1044 1116 1131 1149 1209 1508 1532 1612 1798 2262 2298 2418 2697 3393 3447 3596 3627 4524 4596 4836 4979 5394 6786 6894 7254 8091 9958 10788 11107 11687 11873 13572 13788 14508 14937 16182 19916 22214 23374 23746 29874 32364 33321 35061 35619 44428 44811 46748 47492 59748 66642 70122 71238 89622 99963 105183 106857 133284 140244 142476 144391 154349 179244 199926 210366 213714 288782 308698 344317 399852 420732 427428 433173 463047 577564 617396 688634 866346 926094 1032951 1299519 1377268 1389141 1732692 1852188 2065902 2599038 2778282 3098853 4131804 4476121 5198076 5556564 6197706 8952242 12395412 13428363 17904484 26856726 40285089 53713452 80570178 161140356