[go: up one dir, main page]

Search a number
-
+
13332040 = 235794219
BaseRepresentation
bin110010110110…
…111001001000
3221002100010021
4302312321020
511403111130
61153430224
7221214631
oct62667110
927070107
1013332040
117586617
12456b374
1329ba3a7
141ab0888
15128537a
hexcb6e48

13332040 has 32 divisors (see below), whose sum is σ = 30384000. Its totient is φ = 5264064.

The previous prime is 13332037. The next prime is 13332043. The reversal of 13332040 is 4023331.

13332040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13332037) and next prime (13332043).

It is not an unprimeable number, because it can be changed into a prime (13332043) 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, 1051 + ... + 5269.

It is an arithmetic number, because the mean of its divisors is an integer number (949500).

Almost surely, 213332040 is an apocalyptic number.

13332040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15192000).

13332040 is an abundant number, since it is smaller than the sum of its proper divisors (17051960).

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

13332040 is a wasteful number, since it uses less digits than its factorization.

13332040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309 (or 4305 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 13332040 is about 3651.3066154460. The cubic root of 13332040 is about 237.1185529703.

Adding to 13332040 its reverse (4023331), we get a palindrome (17355371).

The spelling of 13332040 in words is "thirteen million, three hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 4219 8438 16876 21095 33752 42190 84380 168760 333301 666602 1333204 1666505 2666408 3333010 6666020 13332040