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12397710 = 2351383383
BaseRepresentation
bin101111010010…
…110010001110
3212022212110110
4233102302032
511133211320
61121420450
7210243633
oct57226216
925285413
1012397710
116aa8646
12419a726
132751030
14190a18a
15114d5e0
hexbd2c8e

12397710 has 64 divisors (see below), whose sum is σ = 32514048. Its totient is φ = 3007104.

The previous prime is 12397691. The next prime is 12397711. The reversal of 12397710 is 1779321.

12397710 is a nontrivial binomial coefficient, being equal to C(4980, 2).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12397711) 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, 32179 + ... + 32561.

It is an arithmetic number, because the mean of its divisors is an integer number (508032).

Almost surely, 212397710 is an apocalyptic number.

12397710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12397710 is the 4979-th triangular number and also the 2490-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12397710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257024).

12397710 is an abundant number, since it is smaller than the sum of its proper divisors (20116338).

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

12397710 is a wasteful number, since it uses less digits than its factorization.

12397710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489.

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 12397710 is about 3521.0381991680. The cubic root of 12397710 is about 231.4446561643. Note that the first 3 decimals are identical.

The spelling of 12397710 in words is "twelve million, three hundred ninety-seven thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 83 130 166 195 249 383 390 415 498 766 830 1079 1149 1245 1915 2158 2298 2490 3237 3830 4979 5395 5745 6474 9958 10790 11490 14937 16185 24895 29874 31789 32370 49790 63578 74685 95367 149370 158945 190734 317890 413257 476835 826514 953670 1239771 2066285 2479542 4132570 6198855 12397710