Search a number
-
+
80704000 = 29531397
BaseRepresentation
bin1001100111101…
…11001000000000
312121212012002001
410303313020000
5131130012000
612001433344
71666654426
oct463671000
9177765061
1080704000
1141612123
122303b854
1313948960
14aa0b116
15714246a
hex4cf7200

80704000 has 160 divisors (see below), whose sum is σ = 218954736. Its totient is φ = 29491200.

The previous prime is 80703983. The next prime is 80704007. The reversal of 80704000 is 40708.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 135424 + 80568576 = 368^2 + 8976^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (80704007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831952 + ... + 832048.

Almost surely, 280704000 is an apocalyptic number.

80704000 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 80704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109477368).

80704000 is an abundant number, since it is smaller than the sum of its proper divisors (138250736).

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

80704000 is an equidigital number, since it uses as much as digits as its factorization.

80704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 80704000 is about 8983.5405047231. The cubic root of 80704000 is about 432.1471835019.

Adding to 80704000 its reverse (40708), we get a palindrome (80744708).

The spelling of 80704000 in words is "eighty million, seven hundred four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 97 100 104 125 128 130 160 194 200 208 250 256 260 320 325 388 400 416 485 500 512 520 640 650 776 800 832 970 1000 1040 1261 1280 1300 1552 1600 1625 1664 1940 2000 2080 2425 2522 2560 2600 3104 3200 3250 3328 3880 4000 4160 4850 5044 5200 6208 6305 6400 6500 6656 7760 8000 8320 9700 10088 10400 12125 12416 12610 12800 13000 15520 16000 16640 19400 20176 20800 24250 24832 25220 26000 31040 31525 32000 33280 38800 40352 41600 48500 49664 50440 52000 62080 63050 64000 77600 80704 83200 97000 100880 104000 124160 126100 155200 157625 161408 166400 194000 201760 208000 248320 252200 310400 315250 322816 388000 403520 416000 504400 620800 630500 645632 776000 807040 832000 1008800 1241600 1261000 1552000 1614080 2017600 2522000 3104000 3228160 4035200 5044000 6208000 8070400 10088000 16140800 20176000 40352000 80704000