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1314816 = 2123107
BaseRepresentation
bin101000001000000000000
32110210120220
411001000000
5314033231
644103040
714114166
oct5010000
92423526
101314816
11818928
12534a80
133705c9
14263236
151ae896
hex141000

1314816 has 52 divisors (see below), whose sum is σ = 3538512. Its totient is φ = 434176.

The previous prime is 1314809. The next prime is 1314821. The reversal of 1314816 is 6184131.

It is a super-2 number, since 2×13148162 = 3457482227712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12235 + ... + 12341.

21314816 is an apocalyptic number.

1314816 is a gapful number since it is divisible by the number (16) 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 1314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769256).

1314816 is an abundant number, since it is smaller than the sum of its proper divisors (2223696).

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

1314816 is an equidigital number, since it uses as much as digits as its factorization.

1314816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 1314816 is about 1146.6542634988. The cubic root of 1314816 is about 109.5523404412.

Adding to 1314816 its reverse (6184131), we get a palindrome (7498947).

The spelling of 1314816 in words is "one million, three hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 384 428 512 642 768 856 1024 1284 1536 1712 2048 2568 3072 3424 4096 5136 6144 6848 10272 12288 13696 20544 27392 41088 54784 82176 109568 164352 219136 328704 438272 657408 1314816