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66206052 = 223311232423
BaseRepresentation
bin1111110010001…
…1100101100100
311121120121122000
43330203211210
5113422043202
610323005300
71432512363
oct374434544
9147517560
1066206052
113440a650
121a209830
13109409a3
148b157da
155c2b91c
hex3f23964

66206052 has 96 divisors (see below), whose sum is σ = 195471360. Its totient is φ = 19182240.

The previous prime is 66205967. The next prime is 66206069. The reversal of 66206052 is 25060266.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26113 + ... + 28535.

It is an arithmetic number, because the mean of its divisors is an integer number (2036160).

Almost surely, 266206052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66206052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97735680).

66206052 is an abundant number, since it is smaller than the sum of its proper divisors (129265308).

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

66206052 is a wasteful number, since it uses less digits than its factorization.

66206052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 66206052 is about 8136.7101459988. The cubic root of 66206052 is about 404.5441235368.

The spelling of 66206052 in words is "sixty-six million, two hundred six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 132 138 198 207 253 276 297 396 414 506 594 621 759 828 1012 1188 1242 1518 2277 2423 2484 3036 4554 4846 6831 7269 9108 9692 13662 14538 21807 26653 27324 29076 43614 53306 55729 65421 79959 87228 106612 111458 130842 159918 167187 222916 239877 261684 319836 334374 479754 501561 613019 668748 719631 959508 1003122 1226038 1439262 1504683 1839057 2006244 2452076 2878524 3009366 3678114 5517171 6018732 7356228 11034342 16551513 22068684 33103026 66206052