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66550680 = 2333578803
BaseRepresentation
bin1111110111011…
…1101110011000
311122020010101000
43331313232120
5114014110210
610334225000
71435446210
oct375675630
9148203330
1066550680
1134625569
121a355160
1310a31801
148ba5240
155c98ac0
hex3f77b98

66550680 has 128 divisors (see below), whose sum is σ = 253555200. Its totient is φ = 15209856.

The previous prime is 66550657. The next prime is 66550681. The reversal of 66550680 is 8605566.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66550681) 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, 3159 + ... + 11961.

It is an arithmetic number, because the mean of its divisors is an integer number (1980900).

Almost surely, 266550680 is an apocalyptic number.

66550680 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 66550680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126777600).

66550680 is an abundant number, since it is smaller than the sum of its proper divisors (187004520).

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

66550680 is a wasteful number, since it uses less digits than its factorization.

66550680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8830 (or 8820 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 66550680 is about 8157.8600135084. The cubic root of 66550680 is about 405.2448450889.

The spelling of 66550680 in words is "sixty-six million, five hundred fifty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 8803 17606 26409 35212 44015 52818 61621 70424 79227 88030 105636 123242 132045 158454 176060 184863 211272 237681 246484 264090 308105 316908 352120 369726 396135 475362 492968 528180 554589 616210 633816 739452 792270 924315 950724 1056360 1109178 1188405 1232420 1478904 1584540 1663767 1848630 1901448 2218356 2376810 2464840 2772945 3169080 3327534 3697260 4436712 4753620 5545890 6655068 7394520 8318835 9507240 11091780 13310136 16637670 22183560 33275340 66550680