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66855000 = 233544457
BaseRepresentation
bin1111111100001…
…0000001011000
311122210120211010
43333002001120
5114103330000
610344533520
71441154352
oct377020130
9148716733
1066855000
1134813173
121a4812a0
1310b0a194
148c440d2
155d08d50
hex3fc2058

66855000 has 80 divisors (see below), whose sum is σ = 208901880. Its totient is φ = 17824000.

The previous prime is 66854993. The next prime is 66855001. The reversal of 66855000 is 55866.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66855001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12772 + ... + 17228.

Almost surely, 266855000 is an apocalyptic number.

66855000 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 66855000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104450940).

66855000 is an abundant number, since it is smaller than the sum of its proper divisors (142046880).

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

66855000 is a wasteful number, since it uses less digits than its factorization.

66855000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 66855000 is about 8176.4906897764. The cubic root of 66855000 is about 405.8616011729.

The spelling of 66855000 in words is "sixty-six million, eight hundred fifty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3750 4457 5000 7500 8914 13371 15000 17828 22285 26742 35656 44570 53484 66855 89140 106968 111425 133710 178280 222850 267420 334275 445700 534840 557125 668550 891400 1114250 1337100 1671375 2228500 2674200 2785625 3342750 4457000 5571250 6685500 8356875 11142500 13371000 16713750 22285000 33427500 66855000