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66430260 = 22335139463
BaseRepresentation
bin1111110101101…
…0010100110100
311122000000012000
43331122110310
5114001232020
610331455300
71434435141
oct375322464
9148000160
1066430260
1134553046
121a2b7530
13109bba60
148b733c8
155c73090
hex3f5a534

66430260 has 96 divisors (see below), whose sum is σ = 222593280. Its totient is φ = 16350336.

The previous prime is 66430249. The next prime is 66430261. The reversal of 66430260 is 6203466.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66430261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2289 + ... + 11751.

It is an arithmetic number, because the mean of its divisors is an integer number (2318680).

Almost surely, 266430260 is an apocalyptic number.

66430260 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 66430260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111296640).

66430260 is an abundant number, since it is smaller than the sum of its proper divisors (156163020).

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

66430260 is a wasteful number, since it uses less digits than its factorization.

66430260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9494 (or 9486 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 66430260 is about 8150.4760597158. The cubic root of 66430260 is about 405.0002743482. Note that the first 3 decimals are identical.

The spelling of 66430260 in words is "sixty-six million, four hundred thirty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 9463 18926 28389 37852 47315 56778 85167 94630 113556 123019 141945 170334 189260 246038 255501 283890 340668 369057 425835 492076 511002 567780 615095 738114 851670 1022004 1107171 1230190 1277505 1476228 1703340 1845285 2214342 2460380 2555010 3321513 3690570 4428684 5110020 5535855 6643026 7381140 11071710 13286052 16607565 22143420 33215130 66430260