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66346140 = 22357473361
BaseRepresentation
bin1111110100010…
…1110010011100
311121211201210110
43331011302130
5113441034030
610330010020
71433634660
oct375056234
9147751713
1066346140
11344a5923
121a276910
131098c693
148b508a0
155c581b0
hex3f45c9c

66346140 has 96 divisors (see below), whose sum is σ = 216889344. Its totient is φ = 14837760.

The previous prime is 66346139. The next prime is 66346141. The reversal of 66346140 is 4164366.

It is an interprime number because it is at equal distance from previous prime (66346139) and next prime (66346141).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 66346098 and 66346107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66346141) 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, 18060 + ... + 21420.

It is an arithmetic number, because the mean of its divisors is an integer number (2259264).

Almost surely, 266346140 is an apocalyptic number.

66346140 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 66346140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108444672).

66346140 is an abundant number, since it is smaller than the sum of its proper divisors (150543204).

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

66346140 is a wasteful number, since it uses less digits than its factorization.

66346140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 66346140 is about 8145.3139902646. The cubic root of 66346140 is about 404.8292528215.

The spelling of 66346140 in words is "sixty-six million, three hundred forty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 420 470 564 658 705 940 987 1316 1410 1645 1974 2820 3290 3361 3948 4935 6580 6722 9870 10083 13444 16805 19740 20166 23527 33610 40332 47054 50415 67220 70581 94108 100830 117635 141162 157967 201660 235270 282324 315934 352905 470540 473901 631868 705810 789835 947802 1105769 1411620 1579670 1895604 2211538 2369505 3159340 3317307 4423076 4739010 5528845 6634614 9478020 11057690 13269228 16586535 22115380 33173070 66346140