Search a number
-
+
80993700 = 223252312903
BaseRepresentation
bin1001101001111…
…01110110100100
312122101220110200
410310331312210
5131213244300
612011550500
72002302144
oct464756644
9178356420
1080993700
114179a847
122315b430
1313a1a788
14aa84924
15719d200
hex4d3dda4

80993700 has 108 divisors (see below), whose sum is σ = 262149888. Its totient is φ = 20894400.

The previous prime is 80993683. The next prime is 80993761. The reversal of 80993700 is 739908.

80993700 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

80993700 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26449 + ... + 29351.

It is a vampire number, since it can be written as 87099300 (with its own digits).

Almost surely, 280993700 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 80993700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131074944).

80993700 is an abundant number, since it is smaller than the sum of its proper divisors (181156188).

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

80993700 is a wasteful number, since it uses less digits than its factorization.

80993700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 80993700 is about 8999.6499931942. The cubic root of 80993700 is about 432.6636533047.

The spelling of 80993700 in words is "eighty million, nine hundred ninety-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 150 155 180 186 225 279 300 310 372 450 465 558 620 775 900 930 1116 1395 1550 1860 2325 2790 2903 3100 4650 5580 5806 6975 8709 9300 11612 13950 14515 17418 26127 27900 29030 34836 43545 52254 58060 72575 87090 89993 104508 130635 145150 174180 179986 217725 261270 269979 290300 359972 435450 449965 522540 539958 653175 809937 870900 899930 1079916 1306350 1349895 1619874 1799860 2249825 2612700 2699790 3239748 4049685 4499650 5399580 6749475 8099370 8999300 13498950 16198740 20248425 26997900 40496850 80993700