Search a number
-
+
8103072 = 25384407
BaseRepresentation
bin11110111010010010100000
3120020200022210
4132322102200
54033244242
6445402120
7125606055
oct36722240
916220283
108103072
114634a5a
122869340
1318a9323
14110d02c
15aa0d9c
hex7ba4a0

8103072 has 24 divisors (see below), whose sum is σ = 21270816. Its totient is φ = 2700992.

The previous prime is 8103071. The next prime is 8103079. The reversal of 8103072 is 2703018.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×81030723 (a number of 22 digits) contains 333 as substring.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (8103071) 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 3 ways as a sum of consecutive naturals, for example, 42108 + ... + 42299.

It is an arithmetic number, because the mean of its divisors is an integer number (886284).

Almost surely, 28103072 is an apocalyptic number.

It is an amenable number.

8103072 is an abundant number, since it is smaller than the sum of its proper divisors (13167744).

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

8103072 is a wasteful number, since it uses less digits than its factorization.

8103072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84420 (or 84412 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 8103072 is about 2846.5895383775. The cubic root of 8103072 is about 200.8552706802.

The spelling of 8103072 in words is "eight million, one hundred three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 84407 168814 253221 337628 506442 675256 1012884 1350512 2025768 2701024 4051536 8103072