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13829070 = 235460969
BaseRepresentation
bin110100110000…
…001111001110
3222000120220210
4310300033032
512020012240
61212223250
7225354663
oct64601716
928016823
1013829070
117895a92
12476ab26
132b326a8
141b9da6a
151332780
hexd303ce

13829070 has 16 divisors (see below), whose sum is σ = 33189840. Its totient is φ = 3687744.

The previous prime is 13829063. The next prime is 13829071. The reversal of 13829070 is 7092831.

It is a happy number.

13829070 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 (30), and also a Moran number because the ratio is a prime number: 460969 = 13829070 / (1 + 3 + 8 + 2 + 9 + 0 + 7 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13829071) 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, 230455 + ... + 230514.

It is an arithmetic number, because the mean of its divisors is an integer number (2074365).

Almost surely, 213829070 is an apocalyptic number.

13829070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13829070 is an abundant number, since it is smaller than the sum of its proper divisors (19360770).

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

13829070 is a wasteful number, since it uses less digits than its factorization.

13829070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460979.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 13829070 is about 3718.7457563001. The cubic root of 13829070 is about 240.0293366916.

The spelling of 13829070 in words is "thirteen million, eight hundred twenty-nine thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 460969 921938 1382907 2304845 2765814 4609690 6914535 13829070