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66042340 = 225713131277
BaseRepresentation
bin1111101111101…
…1100111100100
311121021022001121
43323323213210
5113401323330
610315303324
71431231160
oct373734744
9147238047
1066042340
1134308651
121a14ab44
13108b4310
148ab1ca0
155be817a
hex3efb9e4

66042340 has 96 divisors (see below), whose sum is σ = 172617984. Its totient is φ = 20666880.

The previous prime is 66042323. The next prime is 66042343. The reversal of 66042340 is 4324066.

It is not an unprimeable number, because it can be changed into a prime (66042343) 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, 238282 + ... + 238558.

It is an arithmetic number, because the mean of its divisors is an integer number (1798104).

Almost surely, 266042340 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 66042340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86308992).

66042340 is an abundant number, since it is smaller than the sum of its proper divisors (106575644).

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

66042340 is a wasteful number, since it uses less digits than its factorization.

66042340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 66042340 is about 8126.6438337114. The cubic root of 66042340 is about 404.2104008130.

The spelling of 66042340 in words is "sixty-six million, forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 131 140 182 260 262 277 364 455 524 554 655 910 917 1108 1310 1385 1703 1820 1834 1939 2620 2770 3406 3601 3668 3878 4585 5540 6812 7202 7756 8515 9170 9695 11921 14404 17030 18005 18340 19390 23842 25207 34060 36010 36287 38780 47684 50414 59605 72020 72574 100828 119210 126035 145148 181435 238420 252070 254009 362870 471731 504140 508018 725740 943462 1016036 1270045 1886924 2358655 2540090 3302117 4717310 5080180 6604234 9434620 13208468 16510585 33021170 66042340