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66987800 = 23521130449
BaseRepresentation
bin1111111110001…
…0011100011000
311200001022222122
43333202130120
5114122102200
610351440412
71442246465
oct377423430
9150038878
1066987800
11348a3a20
121a526108
1310b55769
148c7a66c
155d33385
hex3fe2718

66987800 has 48 divisors (see below), whose sum is σ = 169911000. Its totient is φ = 24358400.

The previous prime is 66987779. The next prime is 66987829. The reversal of 66987800 is 878966.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13025 + ... + 17424.

Almost surely, 266987800 is an apocalyptic number.

It is an amenable number.

66987800 is an abundant number, since it is smaller than the sum of its proper divisors (102923200).

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

66987800 is a wasteful number, since it uses less digits than its factorization.

66987800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30476 (or 30467 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 66987800 is about 8184.6075043340. The cubic root of 66987800 is about 406.1301563656.

The spelling of 66987800 in words is "sixty-six million, nine hundred eighty-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 30449 60898 121796 152245 243592 304490 334939 608980 669878 761225 1217960 1339756 1522450 1674695 2679512 3044900 3349390 6089800 6698780 8373475 13397560 16746950 33493900 66987800