Search a number
-
+
80638320 = 2435726857
BaseRepresentation
bin1001100111001…
…11000101110000
312121201211222110
410303213011300
5131120411240
612000205320
71666262100
oct463470560
9177654873
1080638320
1141577844
1223009840
1313924aa9
14a9d1200
15712cc80
hex4ce7170

80638320 has 120 divisors (see below), whose sum is σ = 290834064. Its totient is φ = 18428928.

The previous prime is 80638307. The next prime is 80638339. The reversal of 80638320 is 2383608.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8332 + ... + 15188.

Almost surely, 280638320 is an apocalyptic number.

80638320 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 80638320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145417032).

80638320 is an abundant number, since it is smaller than the sum of its proper divisors (210195744).

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

80638320 is a wasteful number, since it uses less digits than its factorization.

80638320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6887 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 80638320 is about 8979.8841863356. The cubic root of 80638320 is about 432.0299190527.

The spelling of 80638320 in words is "eighty million, six hundred thirty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 6857 11760 13714 20571 27428 34285 41142 47999 54856 68570 82284 95998 102855 109712 137140 143997 164568 191996 205710 239995 274280 287994 329136 335993 383992 411420 479990 548560 575988 671986 719985 767984 822840 959980 1007979 1151976 1343972 1439970 1645680 1679965 1919960 2015958 2303952 2687944 2879940 3359930 3839920 4031916 5039895 5375888 5759880 6719860 8063832 10079790 11519760 13439720 16127664 20159580 26879440 40319160 80638320