Search a number
-
+
13367120 = 2451312853
BaseRepresentation
bin110010111111…
…011101010000
3221011010020112
4302333131100
511410221440
61154300452
7221422124
oct62773520
927133215
1013367120
1175aaa08
124587728
132a00350
141abd584
151290965
hexcbf750

13367120 has 40 divisors (see below), whose sum is σ = 33471816. Its totient is φ = 4935168.

The previous prime is 13367119. The next prime is 13367147. The reversal of 13367120 is 2176331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 784 + 13366336 = 28^2 + 3656^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5387 + ... + 7466.

Almost surely, 213367120 is an apocalyptic number.

13367120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13367120 is an abundant number, since it is smaller than the sum of its proper divisors (20104696).

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

13367120 is a wasteful number, since it uses less digits than its factorization.

13367120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12879 (or 12873 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 13367120 is about 3656.1072194344. The cubic root of 13367120 is about 237.3263439707.

The spelling of 13367120 in words is "thirteen million, three hundred sixty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 12853 25706 51412 64265 102824 128530 167089 205648 257060 334178 514120 668356 835445 1028240 1336712 1670890 2673424 3341780 6683560 13367120