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66122420 = 22571347773
BaseRepresentation
bin1111110000111…
…1001010110100
311121102100220112
43330033022310
5113411404140
610321122152
71432013510
oct374171264
9147370815
1066122420
1134362831
121a189358
13109118c0
148ad3140
155c11c65
hex3f0f2b4

66122420 has 96 divisors (see below), whose sum is σ = 174763008. Its totient is φ = 20454912.

The previous prime is 66122387. The next prime is 66122431. The reversal of 66122420 is 2422166.

66122420 = T125 + T126 + ... + T735.

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, 85154 + ... + 85926.

It is an arithmetic number, because the mean of its divisors is an integer number (1820448).

Almost surely, 266122420 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 66122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87381504).

66122420 is an abundant number, since it is smaller than the sum of its proper divisors (108640588).

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

66122420 is a wasteful number, since it uses less digits than its factorization.

66122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 66122420 is about 8131.5693442287. The cubic root of 66122420 is about 404.3737106662.

Adding to 66122420 its reverse (2422166), we get a palindrome (68544586).

The spelling of 66122420 in words is "sixty-six million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 47 52 65 70 91 94 130 140 182 188 235 260 329 364 455 470 611 658 773 910 940 1222 1316 1546 1645 1820 2444 3055 3092 3290 3865 4277 5411 6110 6580 7730 8554 10049 10822 12220 15460 17108 20098 21385 21644 27055 36331 40196 42770 50245 54110 70343 72662 85540 100490 108220 140686 145324 181655 200980 254317 281372 351715 363310 472303 508634 703430 726620 944606 1017268 1271585 1406860 1889212 2361515 2543170 3306121 4723030 5086340 6612242 9446060 13224484 16530605 33061210 66122420