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20614160 = 2457131281
BaseRepresentation
bin100111010100…
…0110000010000
31102210022022102
41032220300100
520234123120
62013455532
7340134410
oct116506020
942708272
1020614160
11106aa7a6
126aa15a8
134369b38
142a48640
151c22d75
hex13a8c10

20614160 has 80 divisors (see below), whose sum is σ = 55389312. Its totient is φ = 6988800.

The previous prime is 20614151. The next prime is 20614171. The reversal of 20614160 is 6141602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73220 + ... + 73500.

Almost surely, 220614160 is an apocalyptic number.

20614160 is a gapful number since it is divisible by the number (20) 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 20614160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27694656).

20614160 is an abundant number, since it is smaller than the sum of its proper divisors (34775152).

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

20614160 is a wasteful number, since it uses less digits than its factorization.

20614160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 20614160 is about 4540.2819295722. The cubic root of 20614160 is about 274.1922745128.

Adding to 20614160 its reverse (6141602), we get a palindrome (26755762).

The spelling of 20614160 in words is "twenty million, six hundred fourteen thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 131 140 262 280 281 524 560 562 655 917 1048 1124 1310 1405 1834 1967 2096 2248 2620 2810 3668 3934 4496 4585 5240 5620 7336 7868 9170 9835 10480 11240 14672 15736 18340 19670 22480 31472 36680 36811 39340 73360 73622 78680 147244 157360 184055 257677 294488 368110 515354 588976 736220 1030708 1288385 1472440 2061416 2576770 2944880 4122832 5153540 10307080 20614160