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66425400 = 23335212301
BaseRepresentation
bin1111110101100…
…1001000111000
311121222202112000
43331121020320
5114001103100
610331421000
71434415026
oct375311070
9147882460
1066425400
113454a428
121a2b4760
13109b9792
148b71716
155c71900
hex3f59238

66425400 has 96 divisors (see below), whose sum is σ = 228817200. Its totient is φ = 17712000.

The previous prime is 66425369. The next prime is 66425413. The reversal of 66425400 is 452466.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751 + ... + 11550.

Almost surely, 266425400 is an apocalyptic number.

66425400 is a gapful number since it is divisible by the number (60) 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 66425400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114408600).

66425400 is an abundant number, since it is smaller than the sum of its proper divisors (162391800).

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

66425400 is a wasteful number, since it uses less digits than its factorization.

66425400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12326 (or 12311 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 66425400 is about 8150.1779121685. The cubic root of 66425400 is about 404.9903975775.

Adding to 66425400 its reverse (452466), we get a palindrome (66877866).

The spelling of 66425400 in words is "sixty-six million, four hundred twenty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 12301 24602 36903 49204 61505 73806 98408 110709 123010 147612 184515 221418 246020 295224 307525 332127 369030 442836 492040 553545 615050 664254 738060 885672 922575 1107090 1230100 1328508 1476120 1660635 1845150 2214180 2460200 2657016 2767725 3321270 3690300 4428360 5535450 6642540 7380600 8303175 11070900 13285080 16606350 22141800 33212700 66425400