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13023630 = 2325373911
BaseRepresentation
bin110001101011…
…100110001110
3220111200001200
4301223212032
511313224010
61143050330
7215461524
oct61534616
926450050
1013023630
117395934
1244409a6
13290cbb9
141a30314
151223cc0
hexc6b98e

13023630 has 48 divisors (see below), whose sum is σ = 34785504. Its totient is φ = 3378240.

The previous prime is 13023623. The next prime is 13023641. The reversal of 13023630 is 3632031.

It is a happy number.

13023630 is a `hidden beast` number, since 1 + 30 + 2 + 3 + 630 = 666.

It is a super-2 number, since 2×130236302 = 339229876753800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1375 + ... + 5285.

It is an arithmetic number, because the mean of its divisors is an integer number (724698).

Almost surely, 213023630 is an apocalyptic number.

13023630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17392752).

13023630 is an abundant number, since it is smaller than the sum of its proper divisors (21761874).

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

13023630 is a wasteful number, since it uses less digits than its factorization.

13023630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 13023630 is about 3608.8266791299. The cubic root of 13023630 is about 235.2758493047.

Adding to 13023630 its reverse (3632031), we get a palindrome (16655661).

The spelling of 13023630 in words is "thirteen million, twenty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 3911 7822 11733 19555 23466 35199 39110 58665 70398 117330 144707 175995 289414 351990 434121 723535 868242 1302363 1447070 2170605 2604726 4341210 6511815 13023630