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66160314 = 23411137271
BaseRepresentation
bin1111110001100…
…0011010111010
311121111021220000
43330120122322
5113414112224
610322013430
71432232133
oct374303272
9147437800
1066160314
1134389250
121a1a7276
1310925c1c
148b02c8a
155c1d0c9
hex3f186ba

66160314 has 80 divisors (see below), whose sum is σ = 163506816. Its totient is φ = 19828800.

The previous prime is 66160313. The next prime is 66160327. The reversal of 66160314 is 41306166.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (66160313) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 243999 + ... + 244269.

Almost surely, 266160314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66160314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81753408).

66160314 is an abundant number, since it is smaller than the sum of its proper divisors (97346502).

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

66160314 is a wasteful number, since it uses less digits than its factorization.

66160314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 66160314 is about 8133.8990650241. The cubic root of 66160314 is about 404.4509432252.

The spelling of 66160314 in words is "sixty-six million, one hundred sixty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 137 162 198 271 274 297 411 542 594 813 822 891 1233 1507 1626 1782 2439 2466 2981 3014 3699 4521 4878 5962 7317 7398 8943 9042 11097 13563 14634 17886 21951 22194 26829 27126 37127 40689 43902 53658 74254 80487 81378 111381 122067 160974 222762 241461 244134 334143 408397 482922 668286 816794 1002429 1225191 2004858 2450382 3007287 3675573 6014574 7351146 11026719 22053438 33080157 66160314