Search a number
-
+
80013920 = 2557199359
BaseRepresentation
bin1001100010011…
…10101001100000
312120120010110112
410301032221200
5130440421140
611534550452
71661051510
oct461165140
9176503415
1080013920
1141190708
1222968428
131376681c
14a8ab840
157057c65
hex4c4ea60

80013920 has 96 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 27219456.

The previous prime is 80013893. The next prime is 80013977. The reversal of 80013920 is 2931008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222701 + ... + 223059.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 280013920 is an apocalyptic number.

80013920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80013920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

80013920 is an abundant number, since it is smaller than the sum of its proper divisors (137714080).

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

80013920 is a wasteful number, since it uses less digits than its factorization.

80013920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 80013920 is about 8945.0500278087. The cubic root of 80013920 is about 430.9119279994.

Adding to 80013920 its reverse (2931008), we get a palindrome (82944928).

The spelling of 80013920 in words is "eighty million, thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 199 224 280 359 398 560 718 796 995 1120 1393 1436 1592 1795 1990 2513 2786 2872 3184 3590 3980 5026 5572 5744 6368 6965 7180 7960 10052 11144 11488 12565 13930 14360 15920 20104 22288 25130 27860 28720 31840 40208 44576 50260 55720 57440 71441 80416 100520 111440 142882 201040 222880 285764 357205 402080 500087 571528 714410 1000174 1143056 1428820 2000348 2286112 2500435 2857640 4000696 5000870 5715280 8001392 10001740 11430560 16002784 20003480 40006960 80013920