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13317072 = 243421659
BaseRepresentation
bin110010110011…
…001111010000
3221001120120220
4302303033100
511402121242
61153233040
7221123166
oct62631720
927046526
1013317072
11757634a
124562780
1329b3632
141aa9236
151280bec
hexcb33d0

13317072 has 40 divisors (see below), whose sum is σ = 34536480. Its totient is φ = 4421760.

The previous prime is 13317071. The next prime is 13317079. The reversal of 13317072 is 27071331.

13317072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13317071) 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, 19879 + ... + 20537.

It is an arithmetic number, because the mean of its divisors is an integer number (863412).

Almost surely, 213317072 is an apocalyptic number.

13317072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13317072 is an abundant number, since it is smaller than the sum of its proper divisors (21219408).

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

13317072 is a wasteful number, since it uses less digits than its factorization.

13317072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 13317072 is about 3649.2563626032. The cubic root of 13317072 is about 237.0297813703.

It can be divided in two parts, 133 and 17072, that added together give a triangular number (17205 = T185).

The spelling of 13317072 in words is "thirteen million, three hundred seventeen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 421 659 842 1263 1318 1684 1977 2526 2636 3368 3954 5052 5272 6736 7908 10104 10544 15816 20208 31632 277439 554878 832317 1109756 1664634 2219512 3329268 4439024 6658536 13317072