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66101840 = 2457412879
BaseRepresentation
bin1111110000101…
…0001001010000
311121101022200022
43330022021100
5113410224330
610320443012
71431566510
oct374121120
9147338608
1066101840
1134349322
121a179468
131090541c
148ac9840
155c0aae5
hex3f0a250

66101840 has 80 divisors (see below), whose sum is σ = 179988480. Its totient is φ = 22103040.

The previous prime is 66101837. The next prime is 66101873. The reversal of 66101840 is 4810166.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21521 + ... + 24399.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856).

Almost surely, 266101840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66101840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

66101840 is an abundant number, since it is smaller than the sum of its proper divisors (113886640).

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

66101840 is a wasteful number, since it uses less digits than its factorization.

66101840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 66101840 is about 8130.3038073617. The cubic root of 66101840 is about 404.3317537702.

The spelling of 66101840 in words is "sixty-six million, one hundred one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 2879 3280 4592 5740 5758 11480 11516 14395 20153 22960 23032 28790 40306 46064 57580 80612 100765 115160 118039 161224 201530 230320 236078 322448 403060 472156 590195 806120 826273 944312 1180390 1612240 1652546 1888624 2360780 3305092 4131365 4721560 6610184 8262730 9443120 13220368 16525460 33050920 66101840