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16314192 = 2432277409
BaseRepresentation
bin111110001110…
…111101010000
31010200211212100
4332032331100
513134023232
61341400400
7255445146
oct76167520
933624770
1016314192
119233104
125569100
1334c288b
142249596
151673c7c
hexf8ef50

16314192 has 60 divisors (see below), whose sum is σ = 45933940. Its totient is φ = 5405184.

The previous prime is 16314143. The next prime is 16314197. The reversal of 16314192 is 29141361.

It can be written as a sum of positive squares in 2 ways, for example, as 9217296 + 7096896 = 3036^2 + 2664^2 .

It is a super-2 number, since 2×163141922 = 532305721225728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16314197) 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, 39684 + ... + 40092.

Almost surely, 216314192 is an apocalyptic number.

16314192 is a gapful number since it is divisible by the number (12) 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 16314192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22966970).

16314192 is an abundant number, since it is smaller than the sum of its proper divisors (29619748).

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

16314192 is a wasteful number, since it uses less digits than its factorization.

16314192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 691 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 16314192 is about 4039.0830642610. The cubic root of 16314192 is about 253.6229344330.

The spelling of 16314192 in words is "sixteen million, three hundred fourteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 277 409 554 818 831 1108 1227 1636 1662 2216 2454 2493 3272 3324 3681 4432 4908 4986 6544 6648 7362 9816 9972 13296 14724 19632 19944 29448 39888 58896 113293 226586 339879 453172 679758 906344 1019637 1359516 1812688 2039274 2719032 4078548 5438064 8157096 16314192