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66483840 = 2735311117
BaseRepresentation
bin1111110110011…
…1011010000000
311122002201200110
43331213122000
5114004440330
610332551320
71435050303
oct375473200
9148081613
1066483840
113458a325
121a322540
1310a0a267
148b88b3a
155c83db0
hex3f67680

66483840 has 128 divisors (see below), whose sum is σ = 218949120. Its totient is φ = 17141760.

The previous prime is 66483829. The next prime is 66483841. The reversal of 66483840 is 4838466.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×664838402 = 8840201962291200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66483841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58962 + ... + 60078.

It is an arithmetic number, because the mean of its divisors is an integer number (1710540).

Almost surely, 266483840 is an apocalyptic number.

66483840 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 66483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109474560).

66483840 is an abundant number, since it is smaller than the sum of its proper divisors (152465280).

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

66483840 is a wasteful number, since it uses less digits than its factorization.

66483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 66483840 is about 8153.7623217751. The cubic root of 66483840 is about 405.1091307801.

It can be divided in two parts, 6 and 6483840, that added together give a palindrome (6483846).

The spelling of 66483840 in words is "sixty-six million, four hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 310 320 372 384 465 480 496 620 640 744 930 960 992 1117 1240 1488 1860 1920 1984 2234 2480 2976 3351 3720 3968 4468 4960 5585 5952 6702 7440 8936 9920 11170 11904 13404 14880 16755 17872 19840 22340 26808 29760 33510 34627 35744 44680 53616 59520 67020 69254 71488 89360 103881 107232 134040 138508 142976 173135 178720 207762 214464 268080 277016 346270 357440 415524 428928 519405 536160 554032 692540 714880 831048 1038810 1072320 1108064 1385080 1662096 2077620 2144640 2216128 2770160 3324192 4155240 4432256 5540320 6648384 8310480 11080640 13296768 16620960 22161280 33241920 66483840