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16314120 = 2332545317
BaseRepresentation
bin111110001110…
…111100001000
31010200211202200
4332032330020
513134022440
61341400200
7255445014
oct76167410
933624680
1016314120
119233049
125569060
1334c2834
142249544
151673c30
hexf8ef08

16314120 has 48 divisors (see below), whose sum is σ = 53022060. Its totient is φ = 4350336.

The previous prime is 16314119. The next prime is 16314121. The reversal of 16314120 is 2141361.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16314119) and next prime (16314121).

It can be written as a sum of positive squares in 2 ways, for example, as 16016004 + 298116 = 4002^2 + 546^2 .

It is a super-2 number, since 2×163141202 = 532301022748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 16314093 and 16314102.

It is not an unprimeable number, because it can be changed into a prime (16314121) 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 11 ways as a sum of consecutive naturals, for example, 22299 + ... + 23018.

Almost surely, 216314120 is an apocalyptic number.

16314120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16314120 is an abundant number, since it is smaller than the sum of its proper divisors (36707940).

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

16314120 is a wasteful number, since it uses less digits than its factorization.

16314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45334 (or 45327 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 16314120 is about 4039.0741513372. The cubic root of 16314120 is about 253.6225613248.

Adding to 16314120 its reverse (2141361), we get a palindrome (18455481).

The spelling of 16314120 in words is "sixteen million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 45317 90634 135951 181268 226585 271902 362536 407853 453170 543804 679755 815706 906340 1087608 1359510 1631412 1812680 2039265 2719020 3262824 4078530 5438040 8157060 16314120