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13383030 = 2351953443
BaseRepresentation
bin110011000011…
…010101110110
3221011221001210
4303003111312
511411224110
61154502250
7221516403
oct63032566
927157053
1013383030
117610961
124594986
132a0766b
141ac52aa
151295520
hexcc3576

13383030 has 64 divisors (see below), whose sum is σ = 34525440. Its totient is φ = 3309696.

The previous prime is 13382983. The next prime is 13383037. The reversal of 13383030 is 3038331.

It is a junction number, because it is equal to n+sod(n) for n = 13382988 and 13383006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13383037) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 29989 + ... + 30431.

It is an arithmetic number, because the mean of its divisors is an integer number (539460).

Almost surely, 213383030 is an apocalyptic number.

13383030 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 13383030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17262720).

13383030 is an abundant number, since it is smaller than the sum of its proper divisors (21142410).

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

13383030 is a wasteful number, since it uses less digits than its factorization.

13383030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 13383030 is about 3658.2823838517. The cubic root of 13383030 is about 237.4204645958.

The spelling of 13383030 in words is "thirteen million, three hundred eighty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 53 57 95 106 114 159 190 265 285 318 443 530 570 795 886 1007 1329 1590 2014 2215 2658 3021 4430 5035 6042 6645 8417 10070 13290 15105 16834 23479 25251 30210 42085 46958 50502 70437 84170 117395 126255 140874 234790 252510 352185 446101 704370 892202 1338303 2230505 2676606 4461010 6691515 13383030