Search a number
-
+
80005920 = 2535166679
BaseRepresentation
bin1001100010011…
…00101100100000
312120112201111020
410301030230200
5130440142140
611534445440
71661016261
oct461145440
9176481436
1080005920
11411856a5
1222963880
1313762ca7
14a8a8968
1570556d0
hex4c4cb20

80005920 has 48 divisors (see below), whose sum is σ = 252020160. Its totient is φ = 21334784.

The previous prime is 80005897. The next prime is 80005931. The reversal of 80005920 is 2950008.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82860 + ... + 83819.

It is an arithmetic number, because the mean of its divisors is an integer number (5250420).

Almost surely, 280005920 is an apocalyptic number.

80005920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80005920 is an abundant number, since it is smaller than the sum of its proper divisors (172014240).

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

80005920 is a wasteful number, since it uses less digits than its factorization.

80005920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166697 (or 166689 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 80005920 is about 8944.6028419377. The cubic root of 80005920 is about 430.8975662887.

Adding to 80005920 its reverse (2950008), we get a palindrome (82955928).

The spelling of 80005920 in words is "eighty million, five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 166679 333358 500037 666716 833395 1000074 1333432 1666790 2000148 2500185 2666864 3333580 4000296 5000370 5333728 6667160 8000592 10000740 13334320 16001184 20001480 26668640 40002960 80005920