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60146226 = 234727577
BaseRepresentation
bin1110010101110…
…0001000110010
311012011202010000
43211130020302
5110344134401
65545050430
71330143300
oct345341062
9135152100
1060146226
1130a50828
1218186a16
13c5cb6aa
147db9270
155431186
hex395c232

60146226 has 60 divisors (see below), whose sum is σ = 156796398. Its totient is φ = 17182368.

The previous prime is 60146213. The next prime is 60146237. The reversal of 60146226 is 62264106.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 60047001 + 99225 = 7749^2 + 315^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 60146226.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4150 + ... + 11726.

Almost surely, 260146226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60146226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78398199).

60146226 is an abundant number, since it is smaller than the sum of its proper divisors (96650172).

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

60146226 is a wasteful number, since it uses less digits than its factorization.

60146226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7605 (or 7589 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 60146226 is about 7755.3997962710. The cubic root of 60146226 is about 391.8045369061.

The spelling of 60146226 in words is "sixty million, one hundred forty-six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7577 7938 15154 22731 45462 53039 68193 106078 136386 159117 204579 318234 371273 409158 477351 613737 742546 954702 1113819 1227474 1432053 2227638 2864106 3341457 4296159 6682914 8592318 10024371 20048742 30073113 60146226