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66185340 = 223513531601
BaseRepresentation
bin1111110001111…
…0100001111100
311121112120012220
43330132201330
5113420412330
610322325340
71432365114
oct374364174
9147476186
1066185340
11343a6031
121a1b9850
1310934430
148b0c044
155c25710
hex3f1e87c

66185340 has 96 divisors (see below), whose sum is σ = 203466816. Its totient is φ = 15974400.

The previous prime is 66185333. The next prime is 66185363. The reversal of 66185340 is 4358166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40540 + ... + 42140.

It is an arithmetic number, because the mean of its divisors is an integer number (2119446).

Almost surely, 266185340 is an apocalyptic number.

66185340 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 66185340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101733408).

66185340 is an abundant number, since it is smaller than the sum of its proper divisors (137281476).

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

66185340 is a wasteful number, since it uses less digits than its factorization.

66185340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 66185340 is about 8135.4372961753. The cubic root of 66185340 is about 404.5019330746.

The spelling of 66185340 in words is "sixty-six million, one hundred eighty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 53 60 65 78 106 130 156 159 195 212 260 265 318 390 530 636 689 780 795 1060 1378 1590 1601 2067 2756 3180 3202 3445 4134 4803 6404 6890 8005 8268 9606 10335 13780 16010 19212 20670 20813 24015 32020 41340 41626 48030 62439 83252 84853 96060 104065 124878 169706 208130 249756 254559 312195 339412 416260 424265 509118 624390 848530 1018236 1103089 1248780 1272795 1697060 2206178 2545590 3309267 4412356 5091180 5515445 6618534 11030890 13237068 16546335 22061780 33092670 66185340