Search a number
-
+
80125320 = 233511101601
BaseRepresentation
bin1001100011010…
…01110110001000
312120202210021110
410301221312020
5131003002240
611541210320
71662024342
oct461516610
9176683243
1080125320
1141257380
1222a009a0
13137a5442
14a8da292
15707ac80
hex4c69d88

80125320 has 128 divisors (see below), whose sum is σ = 265265280. Its totient is φ = 19200000.

The previous prime is 80125291. The next prime is 80125327. The reversal of 80125320 is 2352108.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (80125327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133020 + ... + 133620.

It is an arithmetic number, because the mean of its divisors is an integer number (2072385).

Almost surely, 280125320 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 80125320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132632640).

80125320 is an abundant number, since it is smaller than the sum of its proper divisors (185139960).

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

80125320 is a wasteful number, since it uses less digits than its factorization.

80125320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 80125320 is about 8951.2747695510. The cubic root of 80125320 is about 431.1118154199. Note that the first 3 decimals are identical.

Adding to 80125320 its reverse (2352108), we get a palindrome (82477428).

The spelling of 80125320 in words is "eighty million, one hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 601 606 660 808 1010 1111 1202 1212 1320 1515 1803 2020 2222 2404 2424 3005 3030 3333 3606 4040 4444 4808 5555 6010 6060 6611 6666 7212 8888 9015 11110 12020 12120 13222 13332 14424 16665 18030 19833 22220 24040 26444 26664 33055 33330 36060 39666 44440 52888 60701 66110 66660 72120 79332 99165 121402 132220 133320 158664 182103 198330 242804 264440 303505 364206 396660 485608 607010 667711 728412 793320 910515 1214020 1335422 1456824 1821030 2003133 2428040 2670844 3338555 3642060 4006266 5341688 6677110 7284120 8012532 10015665 13354220 16025064 20031330 26708440 40062660 80125320