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66348140 = 22543179431
BaseRepresentation
bin1111110100011…
…0010001101100
311121211211112112
43331012101230
5113441120030
610330023152
71433643545
oct375062154
9147754475
1066348140
11344a7381
121a277ab8
1310990571
148b514cc
155c58a95
hex3f4646c

66348140 has 48 divisors (see below), whose sum is σ = 143700480. Its totient is φ = 25717440.

The previous prime is 66348137. The next prime is 66348173. The reversal of 66348140 is 4184366.

It is a junction number, because it is equal to n+sod(n) for n = 66348097 and 66348106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153725 + ... + 154155.

It is an arithmetic number, because the mean of its divisors is an integer number (2993760).

Almost surely, 266348140 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 66348140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71850240).

66348140 is an abundant number, since it is smaller than the sum of its proper divisors (77352340).

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

66348140 is a wasteful number, since it uses less digits than its factorization.

66348140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 66348140 is about 8145.4367593150. The cubic root of 66348140 is about 404.8333206310.

The spelling of 66348140 in words is "sixty-six million, three hundred forty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 179 215 358 430 431 716 860 862 895 1724 1790 2155 3580 4310 7697 8620 15394 18533 30788 37066 38485 74132 76970 77149 92665 153940 154298 185330 308596 370660 385745 771490 1542980 3317407 6634814 13269628 16587035 33174070 66348140