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12315464 = 237289353
BaseRepresentation
bin101110111110…
…101101001000
3212011200122022
4232332231020
511123043324
61115544012
7206452100
oct56765510
925150568
1012315464
116a51877
12415b008
132722775
1418c8200
15113405e
hexbbeb48

12315464 has 48 divisors (see below), whose sum is σ = 27240300. Its totient is φ = 5203968.

The previous prime is 12315461. The next prime is 12315467. The reversal of 12315464 is 46451321.

It is an interprime number because it is at equal distance from previous prime (12315461) and next prime (12315467).

It can be written as a sum of positive squares in 2 ways, for example, as 11764900 + 550564 = 3430^2 + 742^2 .

It is not an unprimeable number, because it can be changed into a prime (12315461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34712 + ... + 35064.

Almost surely, 212315464 is an apocalyptic number.

12315464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12315464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13620150).

12315464 is an abundant number, since it is smaller than the sum of its proper divisors (14924836).

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

12315464 is a wasteful number, since it uses less digits than its factorization.

12315464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 451 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 12315464 is about 3509.3395390016. The cubic root of 12315464 is about 230.9317214794.

Adding to 12315464 its reverse (46451321), we get a palindrome (58766785).

The spelling of 12315464 in words is "twelve million, three hundred fifteen thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 89 98 178 196 353 356 392 623 706 712 1246 1412 2471 2492 2824 4361 4942 4984 8722 9884 17297 17444 19768 31417 34594 34888 62834 69188 125668 138376 219919 251336 439838 879676 1539433 1759352 3078866 6157732 12315464