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66338880 = 2635193637
BaseRepresentation
bin1111110100010…
…0000001000000
311121211100211120
43331010001000
5113440321010
610325512240
71433604546
oct375040100
9147740746
1066338880
11344a0423
121a272680
131098929a
148b4bd96
155c55e70
hex3f44040

66338880 has 112 divisors (see below), whose sum is σ = 221772480. Its totient is φ = 16754688.

The previous prime is 66338843. The next prime is 66338917. The reversal of 66338880 is 8883366.

It is an interprime number because it is at equal distance from previous prime (66338843) and next prime (66338917).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16422 + ... + 20058.

Almost surely, 266338880 is an apocalyptic number.

66338880 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 66338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110886240).

66338880 is an abundant number, since it is smaller than the sum of its proper divisors (155433600).

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

66338880 is a wasteful number, since it uses less digits than its factorization.

66338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 66338880 is about 8144.8683230608. The cubic root of 66338880 is about 404.8144859861.

The spelling of 66338880 in words is "sixty-six million, three hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3637 3648 4560 6080 7274 9120 10911 14548 18185 18240 21822 29096 36370 43644 54555 58192 69103 72740 87288 109110 116384 138206 145480 174576 207309 218220 232768 276412 290960 345515 349152 414618 436440 552824 581920 691030 698304 829236 872880 1036545 1105648 1163840 1382060 1658472 1745760 2073090 2211296 2764120 3316944 3491520 4146180 4422592 5528240 6633888 8292360 11056480 13267776 16584720 22112960 33169440 66338880