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66441960 = 233251314197
BaseRepresentation
bin1111110101110…
…1001011101000
311122000121020100
43331131023220
5114002120320
610332025400
71434514224
oct375351350
9148017210
1066441960
1134560912
121a302260
13109c4190
148b77784
155c76790
hex3f5d2e8

66441960 has 96 divisors (see below), whose sum is σ = 232563240. Its totient is φ = 16353792.

The previous prime is 66441937. The next prime is 66441979. The reversal of 66441960 is 6914466.

66441960 is a `hidden beast` number, since 6 + 644 + 1 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60000516 + 6441444 = 7746^2 + 2538^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 2419 + ... + 11778.

Almost surely, 266441960 is an apocalyptic number.

66441960 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 66441960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116281620).

66441960 is an abundant number, since it is smaller than the sum of its proper divisors (166121280).

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

66441960 is a wasteful number, since it uses less digits than its factorization.

66441960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14227 (or 14220 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66441960 is about 8151.1937776009. The cubic root of 66441960 is about 405.0240497835.

It can be divided in two parts, 664 and 41960, that added together give a palindrome (42624).

The spelling of 66441960 in words is "sixty-six million, four hundred forty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 14197 28394 42591 56788 70985 85182 113576 127773 141970 170364 184561 212955 255546 283940 340728 369122 425910 511092 553683 567880 638865 738244 851820 922805 1022184 1107366 1277730 1476488 1661049 1703640 1845610 2214732 2555460 2768415 3322098 3691220 4429464 5110920 5536830 6644196 7382440 8305245 11073660 13288392 16610490 22147320 33220980 66441960