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161027568 = 24331353541
BaseRepresentation
bin10011001100100…
…01010111110000
3102020000001022000
421212101113300
5312210340233
623551214000
73663466062
oct1146212760
9366001260
10161027568
1182994439
1245b17300
13274903b0
1417559732
15e20bd13
hex99915f0

161027568 has 160 divisors (see below), whose sum is σ = 508092480. Its totient is φ = 48522240.

The previous prime is 161027557. The next prime is 161027591. The reversal of 161027568 is 865720161.

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

It is a congruent number.

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, 297378 + ... + 297918.

It is an arithmetic number, because the mean of its divisors is an integer number (3175578).

Almost surely, 2161027568 is an apocalyptic number.

161027568 is a gapful number since it is divisible by the number (18) 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 161027568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254046240).

161027568 is an abundant number, since it is smaller than the sum of its proper divisors (347064912).

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

161027568 is a wasteful number, since it uses less digits than its factorization.

161027568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 161027568 is about 12689.6638253344. The cubic root of 161027568 is about 544.0432311376.

The spelling of 161027568 in words is "one hundred sixty-one million, twenty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 53 54 72 78 104 106 108 117 144 156 159 208 212 216 234 312 318 351 424 432 468 477 541 624 636 689 702 848 936 954 1082 1272 1378 1404 1431 1623 1872 1908 2067 2164 2544 2756 2808 2862 3246 3816 4134 4328 4869 5512 5616 5724 6201 6492 7033 7632 8268 8656 9738 11024 11448 12402 12984 14066 14607 16536 18603 19476 21099 22896 24804 25968 28132 28673 29214 33072 37206 38952 42198 49608 56264 57346 58428 63297 74412 77904 84396 86019 99216 112528 114692 116856 126594 148824 168792 172038 189891 229384 233712 253188 258057 297648 337584 344076 372749 379782 458768 506376 516114 688152 745498 759564 774171 1012752 1032228 1118247 1376304 1490996 1519128 1548342 2064456 2236494 2981992 3038256 3096684 3354741 4128912 4472988 5963984 6193368 6709482 8945976 10064223 12386736 13418964 17891952 20128446 26837928 40256892 53675856 80513784 161027568