Search a number
-
+
12916080 = 2432517939
BaseRepresentation
bin110001010001…
…010101110000
3220022012112100
4301101111300
511301303310
61140500400
7214533132
oct61212560
926265470
1012916080
117322051
1243aa700
1328a2c68
141a03052
151201ec0
hexc51570

12916080 has 60 divisors (see below), whose sum is σ = 43378920. Its totient is φ = 3444096.

The previous prime is 12916069. The next prime is 12916093. The reversal of 12916080 is 8061921.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8250 + ... + 9689.

It is an arithmetic number, because the mean of its divisors is an integer number (722982).

Almost surely, 212916080 is an apocalyptic number.

12916080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12916080 is an abundant number, since it is smaller than the sum of its proper divisors (30462840).

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

12916080 is a wasteful number, since it uses less digits than its factorization.

12916080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17958 (or 17949 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 12916080 is about 3593.8948231689. The cubic root of 12916080 is about 234.6264171384.

The spelling of 12916080 in words is "twelve million, nine hundred sixteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 17939 35878 53817 71756 89695 107634 143512 161451 179390 215268 269085 287024 322902 358780 430536 538170 645804 717560 807255 861072 1076340 1291608 1435120 1614510 2152680 2583216 3229020 4305360 6458040 12916080