Search a number
-
+
13782630 = 235459421
BaseRepresentation
bin110100100100…
…111001100110
3221221020012210
4310210321212
512012021010
61211224250
7225102411
oct64447146
927836183
1013782630
117864104
124748086
132b17504
141b8ab78
151323b20
hexd24e66

13782630 has 16 divisors (see below), whose sum is σ = 33078384. Its totient is φ = 3675360.

The previous prime is 13782583. The next prime is 13782647. The reversal of 13782630 is 3628731.

13782630 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: 459421 = 13782630 / (1 + 3 + 7 + 8 + 2 + 6 + 3 + 0).

It is a Curzon number.

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, 229681 + ... + 229740.

It is an arithmetic number, because the mean of its divisors is an integer number (2067399).

Almost surely, 213782630 is an apocalyptic number.

13782630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13782630 is an abundant number, since it is smaller than the sum of its proper divisors (19295754).

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

13782630 is a wasteful number, since it uses less digits than its factorization.

13782630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459431.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 13782630 is about 3712.4964646448. The cubic root of 13782630 is about 239.7603510590.

The spelling of 13782630 in words is "thirteen million, seven hundred eighty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 459421 918842 1378263 2297105 2756526 4594210 6891315 13782630