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160066116 = 223273072069
BaseRepresentation
bin10011000101001…
…10101001000100
3102011012012102200
421202212221010
5311434103431
623514434500
73652353030
oct1142465104
9364165380
10160066116
1182398051
1245732a30
13272148a2
14173891c0
15e0bbee6
hex98a6a44

160066116 has 72 divisors (see below), whose sum is σ = 464143680. Its totient is φ = 45562176.

The previous prime is 160066103. The next prime is 160066121. The reversal of 160066116 is 611660061.

It is a super-2 number, since 2×1600661162 = 51242322982650912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 160066116.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76330 + ... + 78398.

It is an arithmetic number, because the mean of its divisors is an integer number (6446440).

Almost surely, 2160066116 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 160066116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232071840).

160066116 is an abundant number, since it is smaller than the sum of its proper divisors (304077564).

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

160066116 is a wasteful number, since it uses less digits than its factorization.

160066116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2388 counting only the distinct ones).

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

The square root of 160066116 is about 12651.7238351143. The cubic root of 160066116 is about 542.9582907027.

It can be divided in two parts, 16006 and 6116, that added together give a palindrome (22122).

The spelling of 160066116 in words is "one hundred sixty million, sixty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 307 614 921 1228 1842 2069 2149 2763 3684 4138 4298 5526 6207 6447 8276 8596 11052 12414 12894 14483 18621 19341 24828 25788 28966 37242 38682 43449 57932 74484 77364 86898 130347 173796 260694 521388 635183 1270366 1905549 2540732 3811098 4446281 5716647 7622196 8892562 11433294 13338843 17785124 22866588 26677686 40016529 53355372 80033058 160066116