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80078166 = 2337415167
BaseRepresentation
bin1001100010111…
…10010101010110
312120200101121000
410301132111112
5131000000131
611540204130
71661440020
oct461362526
9176611530
1080078166
1141224a03
1222999646
1313789b3c
14a8c7010
15706bce6
hex4c5e556

80078166 has 64 divisors (see below), whose sum is σ = 208373760. Its totient is φ = 22317120.

The previous prime is 80078161. The next prime is 80078171. The reversal of 80078166 is 66187008.

80078166 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (80078161) and next prime (80078171).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 80078166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80078161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12915 + ... + 18081.

It is an arithmetic number, because the mean of its divisors is an integer number (3255840).

Almost surely, 280078166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80078166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104186880).

80078166 is an abundant number, since it is smaller than the sum of its proper divisors (128295594).

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

80078166 is a wasteful number, since it uses less digits than its factorization.

80078166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5226 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 80078166 is about 8948.6404553988. The cubic root of 80078166 is about 431.0272286098.

The spelling of 80078166 in words is "eighty million, seventy-eight thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 82 123 126 189 246 287 369 378 574 738 861 1107 1722 2214 2583 5166 5167 7749 10334 15498 15501 31002 36169 46503 72338 93006 108507 139509 211847 217014 279018 325521 423694 635541 651042 976563 1271082 1482929 1906623 1953126 2965858 3813246 4448787 5719869 8897574 11439738 13346361 26692722 40039083 80078166