Search a number
-
+
80195920 = 2457712017
BaseRepresentation
bin1001100011110…
…11000101010000
312120220101010021
410301323011100
5131012232140
611542513224
71662440230
oct461730520
9176811107
1080195920
11412a5422
1222a35814
13137cb60c
14a917cc0
157091b4a
hex4c7b150

80195920 has 80 divisors (see below), whose sum is σ = 216200448. Its totient is φ = 27095040.

The previous prime is 80195897. The next prime is 80195971. The reversal of 80195920 is 2959108.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38752 + ... + 40768.

Almost surely, 280195920 is an apocalyptic number.

80195920 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 80195920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108100224).

80195920 is an abundant number, since it is smaller than the sum of its proper divisors (136004528).

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

80195920 is a wasteful number, since it uses less digits than its factorization.

80195920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 80195920 is about 8955.2174736295. The cubic root of 80195920 is about 431.2383986237.

It can be divided in two parts, 801 and 95920, that added together give a square (96721 = 3112).

The spelling of 80195920 in words is "eighty million, one hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 71 80 112 140 142 280 284 355 497 560 568 710 994 1136 1420 1988 2017 2485 2840 3976 4034 4970 5680 7952 8068 9940 10085 14119 16136 19880 20170 28238 32272 39760 40340 56476 70595 80680 112952 141190 143207 161360 225904 282380 286414 564760 572828 716035 1002449 1129520 1145656 1432070 2004898 2291312 2864140 4009796 5012245 5728280 8019592 10024490 11456560 16039184 20048980 40097960 80195920