Search a number
-
+
8156640 = 253516993
BaseRepresentation
bin11111000111010111100000
3120100101210210
4133013113200
54042003030
6450454120
7126221202
oct37072740
916311723
108156640
114671228
122894340
1318c781b
141124772
15ab1bb0
hex7c75e0

8156640 has 48 divisors (see below), whose sum is σ = 25694928. Its totient is φ = 2174976.

The previous prime is 8156609. The next prime is 8156641. The reversal of 8156640 is 466518.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 8156598 and 8156607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8156641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8017 + ... + 8976.

It is an arithmetic number, because the mean of its divisors is an integer number (535311).

Almost surely, 28156640 is an apocalyptic number.

8156640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8156640 is an abundant number, since it is smaller than the sum of its proper divisors (17538288).

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

8156640 is a wasteful number, since it uses less digits than its factorization.

8156640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17011 (or 17003 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 8156640 is about 2855.9831932279. The cubic root of 8156640 is about 201.2969053382.

The spelling of 8156640 in words is "eight million, one hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 16993 33986 50979 67972 84965 101958 135944 169930 203916 254895 271888 339860 407832 509790 543776 679720 815664 1019580 1359440 1631328 2039160 2718880 4078320 8156640