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116571168 = 25327531091
BaseRepresentation
bin1101111001010…
…11110000100000
322010100102120200
412330223300200
5214320234133
615322305200
72613560430
oct674536040
9263312520
10116571168
115a88a70a
1233058200
131b1c632c
14116a62c0
15a379913
hex6f2bc20

116571168 has 144 divisors (see below), whose sum is σ = 386358336. Its totient is φ = 32647680.

The previous prime is 116571167. The next prime is 116571173. The reversal of 116571168 is 861175611.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (116571163) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 106303 + ... + 107393.

It is an arithmetic number, because the mean of its divisors is an integer number (2683044).

Almost surely, 2116571168 is an apocalyptic number.

116571168 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 116571168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193179168).

116571168 is an abundant number, since it is smaller than the sum of its proper divisors (269787168).

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

116571168 is a wasteful number, since it uses less digits than its factorization.

116571168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1156 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 116571168 is about 10796.8128630629. The cubic root of 116571168 is about 488.4990415848.

The spelling of 116571168 in words is "one hundred sixteen million, five hundred seventy-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 84 96 106 112 126 144 159 168 212 224 252 288 318 336 371 424 477 504 636 672 742 848 954 1008 1091 1113 1272 1484 1696 1908 2016 2182 2226 2544 2968 3273 3339 3816 4364 4452 5088 5936 6546 6678 7632 7637 8728 8904 9819 11872 13092 13356 15264 15274 17456 17808 19638 22911 26184 26712 30548 34912 35616 39276 45822 52368 53424 57823 61096 68733 78552 91644 104736 106848 115646 122192 137466 157104 173469 183288 231292 244384 274932 314208 346938 366576 404761 462584 520407 549864 693876 733152 809522 925168 1040814 1099728 1214283 1387752 1619044 1850336 2081628 2199456 2428566 2775504 3238088 3642849 4163256 4857132 5551008 6476176 7285698 8326512 9714264 12952352 14571396 16653024 19428528 29142792 38857056 58285584 116571168