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18141696 = 293231127
BaseRepresentation
bin100010100110…
…1001000000000
31021010200201200
41011031020000
514121013241
61444501200
7310126146
oct105151000
937120650
1018141696
11a271141
1260aa800
1339b2641
1425a3596
1518d54b6
hex114d200

18141696 has 120 divisors (see below), whose sum is σ = 54472704. Its totient is φ = 5806080.

The previous prime is 18141691. The next prime is 18141731. The reversal of 18141696 is 69614181.

It is a happy number.

It is a super-2 number, since 2×181416962 = 658242267512832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 18141696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18141691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142785 + ... + 142911.

Almost surely, 218141696 is an apocalyptic number.

18141696 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 18141696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27236352).

18141696 is an abundant number, since it is smaller than the sum of its proper divisors (36331008).

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

18141696 is a wasteful number, since it uses less digits than its factorization.

18141696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 18141696 is about 4259.3069858840. The cubic root of 18141696 is about 262.7600253342.

The spelling of 18141696 in words is "eighteen million, one hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 127 128 144 186 192 248 254 256 279 288 372 381 384 496 508 512 558 576 744 762 768 992 1016 1116 1143 1152 1488 1524 1536 1984 2032 2232 2286 2304 2976 3048 3937 3968 4064 4464 4572 4608 5952 6096 7874 7936 8128 8928 9144 11811 11904 12192 15748 15872 16256 17856 18288 23622 23808 24384 31496 32512 35433 35712 36576 47244 47616 48768 62992 65024 70866 71424 73152 94488 97536 125984 141732 142848 146304 188976 195072 251968 283464 292608 377952 503936 566928 585216 755904 1007872 1133856 1511808 2015744 2267712 3023616 4535424 6047232 9070848 18141696