Search a number
-
+
8067072 = 211313101
BaseRepresentation
bin11110110001100000000000
3120011211221110
4132301200000
54031121242
6444523320
7125366106
oct36614000
916154843
108067072
11460aa02
122850540
131895b20
1410ddc76
15a9539c
hex7b1800

8067072 has 96 divisors (see below), whose sum is σ = 23390640. Its totient is φ = 2457600.

The previous prime is 8067053. The next prime is 8067079. The reversal of 8067072 is 2707608.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8067079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79822 + ... + 79922.

Almost surely, 28067072 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 8067072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11695320).

8067072 is an abundant number, since it is smaller than the sum of its proper divisors (15323568).

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

8067072 is a wasteful number, since it uses less digits than its factorization.

8067072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 8067072 is about 2840.2591431065. The cubic root of 8067072 is about 200.5573785362.

The spelling of 8067072 in words is "eight million, sixty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 101 104 128 156 192 202 208 256 303 312 384 404 416 512 606 624 768 808 832 1024 1212 1248 1313 1536 1616 1664 2048 2424 2496 2626 3072 3232 3328 3939 4848 4992 5252 6144 6464 6656 7878 9696 9984 10504 12928 13312 15756 19392 19968 21008 25856 26624 31512 38784 39936 42016 51712 63024 77568 79872 84032 103424 126048 155136 168064 206848 252096 310272 336128 504192 620544 672256 1008384 1344512 2016768 2689024 4033536 8067072