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12413310 = 2357134547
BaseRepresentation
bin101111010110…
…100101111110
3212100122212020
4233112211332
511134211220
61122021010
7210340260
oct57264576
925318766
1012413310
117009338
1241a7766
132758170
141911b30
151153040
hexbd697e

12413310 has 64 divisors (see below), whose sum is σ = 36675072. Its totient is φ = 2618496.

The previous prime is 12413287. The next prime is 12413321. The reversal of 12413310 is 1331421.

12413310 is nontrivially palindromic in base 4.

It is a super-2 number, since 2×124133102 = 308180530312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12413310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457 + ... + 5003.

It is an arithmetic number, because the mean of its divisors is an integer number (573048).

Almost surely, 212413310 is an apocalyptic number.

12413310 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 12413310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18337536).

12413310 is an abundant number, since it is smaller than the sum of its proper divisors (24261762).

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

12413310 is a wasteful number, since it uses less digits than its factorization.

12413310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 12413310 is about 3523.2527584606. The cubic root of 12413310 is about 231.5416908402.

Adding to 12413310 its reverse (1331421), we get a palindrome (13744731).

The spelling of 12413310 in words is "twelve million, four hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 4547 9094 13641 22735 27282 31829 45470 59111 63658 68205 95487 118222 136410 159145 177333 190974 295555 318290 354666 413777 477435 591110 827554 886665 954870 1241331 1773330 2068885 2482662 4137770 6206655 12413310