Search a number
-
+
80106880 = 275717881
BaseRepresentation
bin1001100011001…
…01010110000000
312120201211222111
410301211112000
5131001410010
611540545104
71661616520
oct461452600
9176654874
1080106880
1141244537
12229b2194
1313799c29
14a8d3680
15707558a
hex4c65580

80106880 has 64 divisors (see below), whose sum is σ = 218875680. Its totient is φ = 27463680.

The previous prime is 80106877. The next prime is 80106889. The reversal of 80106880 is 8860108.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×801068802 = 12834224446668800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80106889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4461 + ... + 13420.

Almost surely, 280106880 is an apocalyptic number.

80106880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80106880 is an abundant number, since it is smaller than the sum of its proper divisors (138768800).

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

80106880 is a wasteful number, since it uses less digits than its factorization.

80106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17907 (or 17895 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 80106880 is about 8950.2446893926. The cubic root of 80106880 is about 431.0787409319.

Adding to 80106880 its reverse (8860108), we get a palindrome (88966988).

The spelling of 80106880 in words is "eighty million, one hundred six thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 17881 35762 71524 89405 125167 143048 178810 250334 286096 357620 500668 572192 625835 715240 1001336 1144384 1251670 1430480 2002672 2288768 2503340 2860960 4005344 5006680 5721920 8010688 10013360 11443840 16021376 20026720 40053440 80106880