Search a number
-
+
80850720 = 2535179941
BaseRepresentation
bin1001101000110…
…10111100100000
312122010122100010
410310122330200
5131144210340
612004524520
72001135246
oct464327440
9178118303
1080850720
1141702385
12230b0740
131399a682
14aa48796
157170b80
hex4d1af20

80850720 has 96 divisors (see below), whose sum is σ = 256374720. Its totient is φ = 21416960.

The previous prime is 80850703. The next prime is 80850739. The reversal of 80850720 is 2705808.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 85450 + ... + 86390.

It is an arithmetic number, because the mean of its divisors is an integer number (2670570).

Almost surely, 280850720 is an apocalyptic number.

80850720 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 80850720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128187360).

80850720 is an abundant number, since it is smaller than the sum of its proper divisors (175524000).

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

80850720 is a wasteful number, since it uses less digits than its factorization.

80850720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 80850720 is about 8991.7028420650. The cubic root of 80850720 is about 432.4089063834.

The spelling of 80850720 in words is "eighty million, eight hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 179 240 358 480 537 716 895 941 1074 1432 1790 1882 2148 2685 2823 2864 3580 3764 4296 4705 5370 5646 5728 7160 7528 8592 9410 10740 11292 14115 14320 15056 17184 18820 21480 22584 28230 28640 30112 37640 42960 45168 56460 75280 85920 90336 112920 150560 168439 225840 336878 451680 505317 673756 842195 1010634 1347512 1684390 2021268 2526585 2695024 3368780 4042536 5053170 5390048 6737560 8085072 10106340 13475120 16170144 20212680 26950240 40425360 80850720