Search a number
-
+
12078640 = 245721569
BaseRepresentation
bin101110000100…
…111000110000
3211201122210001
4232010320300
511043004030
61110515344
7204444460
oct56047060
924648701
1012078640
1168aa952
124065b54
13266ba32
141865ba0
1510d8cca
hexb84e30

12078640 has 40 divisors (see below), whose sum is σ = 32096160. Its totient is φ = 4141056.

The previous prime is 12078629. The next prime is 12078643. The reversal of 12078640 is 4687021.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12078599 and 12078608.

It is not an unprimeable number, because it can be changed into a prime (12078643) 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, 10225 + ... + 11344.

It is an arithmetic number, because the mean of its divisors is an integer number (802404).

Almost surely, 212078640 is an apocalyptic number.

12078640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12078640 is an abundant number, since it is smaller than the sum of its proper divisors (20017520).

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

12078640 is a wasteful number, since it uses less digits than its factorization.

12078640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21589 (or 21583 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 12078640 is about 3475.4337858748. The cubic root of 12078640 is about 229.4418729354.

The spelling of 12078640 in words is "twelve million, seventy-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 21569 43138 86276 107845 150983 172552 215690 301966 345104 431380 603932 754915 862760 1207864 1509830 1725520 2415728 3019660 6039320 12078640