Search a number
-
+
80084700 = 2234529887
BaseRepresentation
bin1001100010111…
…11111011011100
312120200201120000
410301133323130
5131000202300
611540254300
71661465043
oct461377334
9176621500
1080084700
1141229903
12229a1390
131378cac7
14a8c955a
15706dc00
hex4c5fedc

80084700 has 90 divisors (see below), whose sum is σ = 259629216. Its totient is φ = 21353760.

The previous prime is 80084699. The next prime is 80084707. The reversal of 80084700 is 748008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80084707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3157 + ... + 13043.

Almost surely, 280084700 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 80084700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129814608).

80084700 is an abundant number, since it is smaller than the sum of its proper divisors (179544516).

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

80084700 is a wasteful number, since it uses less digits than its factorization.

80084700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9913 (or 9897 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 80084700 is about 8949.0055313426. The cubic root of 80084700 is about 431.0389515527.

The spelling of 80084700 in words is "eighty million, eighty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 9887 19774 29661 39548 49435 59322 88983 98870 118644 148305 177966 197740 247175 266949 296610 355932 444915 494350 533898 593220 741525 800847 889830 988700 1067796 1334745 1483050 1601694 1779660 2224575 2669490 2966100 3203388 4004235 4449150 5338980 6673725 8008470 8898300 13347450 16016940 20021175 26694900 40042350 80084700