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13362030 = 2335112409
BaseRepresentation
bin110010111110…
…001101101110
3221010212021000
4302332031232
511410041110
61154221130
7221401233
oct62761556
927125230
1013362030
1175a7100
1245847a6
1329cac36
141abb78a
15128e1c0
hexcbe36e

13362030 has 96 divisors (see below), whose sum is σ = 39261600. Its totient is φ = 3231360.

The previous prime is 13362029. The next prime is 13362031. The reversal of 13362030 is 3026331.

It is a happy number.

13362030 is a `hidden beast` number, since 13 + 3 + 620 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (13362029) and next prime (13362031).

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

It is a junction number, because it is equal to n+sod(n) for n = 13361994 and 13362012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13362031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32466 + ... + 32874.

It is an arithmetic number, because the mean of its divisors is an integer number (408975).

Almost surely, 213362030 is an apocalyptic number.

13362030 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 13362030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19630800).

13362030 is an abundant number, since it is smaller than the sum of its proper divisors (25899570).

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

13362030 is a wasteful number, since it uses less digits than its factorization.

13362030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 430 counting only the distinct ones).

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

The square root of 13362030 is about 3655.4110575967. The cubic root of 13362030 is about 237.2962167019.

Adding to 13362030 its reverse (3026331), we get a palindrome (16388361).

The spelling of 13362030 in words is "thirteen million, three hundred sixty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 121 135 165 198 242 270 297 330 363 409 495 594 605 726 818 990 1089 1210 1227 1485 1815 2045 2178 2454 2970 3267 3630 3681 4090 4499 5445 6135 6534 7362 8998 10890 11043 12270 13497 16335 18405 22086 22495 26994 32670 36810 40491 44990 49489 55215 67485 80982 98978 110430 121473 134970 148467 202455 242946 247445 296934 404910 445401 494890 607365 742335 890802 1214730 1336203 1484670 2227005 2672406 4454010 6681015 13362030