Search a number
-
+
80216000 = 265337271
BaseRepresentation
bin1001100011111…
…11111111000000
312120221101122222
410301333333000
5131013403000
611543150212
71662552614
oct461777700
9176841588
1080216000
1141309517
1222a45368
13138077b7
14a921344
157097a85
hex4c7ffc0

80216000 has 112 divisors (see below), whose sum is σ = 204776832. Its totient is φ = 31104000.

The previous prime is 80215969. The next prime is 80216009. The reversal of 80216000 is 61208.

It is a self number, because there is not a number n which added to its sum of digits gives 80216000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80216009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295865 + ... + 296135.

Almost surely, 280216000 is an apocalyptic number.

80216000 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 80216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102388416).

80216000 is an abundant number, since it is smaller than the sum of its proper divisors (124560832).

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

80216000 is a wasteful number, since it uses less digits than its factorization.

80216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 80216000 is about 8956.3385375945. The cubic root of 80216000 is about 431.2743877547.

Adding to 80216000 its reverse (61208), we get a palindrome (80277208).

The spelling of 80216000 in words is "eighty million, two hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 148 160 185 200 250 271 296 320 370 400 500 542 592 740 800 925 1000 1084 1184 1355 1480 1600 1850 2000 2168 2368 2710 2960 3700 4000 4336 4625 5420 5920 6775 7400 8000 8672 9250 10027 10840 11840 13550 14800 17344 18500 20054 21680 27100 29600 33875 37000 40108 43360 50135 54200 59200 67750 74000 80216 86720 100270 108400 135500 148000 160432 200540 216800 250675 271000 296000 320864 401080 433600 501350 542000 641728 802160 1002700 1084000 1253375 1604320 2005400 2168000 2506750 3208640 4010800 5013500 8021600 10027000 16043200 20054000 40108000 80216000