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60130224 = 243271121729
BaseRepresentation
bin1110010101100…
…0001110110000
311012010221011100
43211120032300
5110343131344
65544444400
71330045530
oct345301660
9135127140
1060130224
1130a3a800
1218179700
13c5c431b
147db34c0
15542b569
hex39583b0

60130224 has 360 divisors, whose sum is σ = 231547680. Its totient is φ = 14192640.

The previous prime is 60130219. The next prime is 60130237. The reversal of 60130224 is 42203106.

60130224 = T119 + T120 + ... + T712.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 60130197 and 60130206.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2073442 + ... + 2073470.

It is an arithmetic number, because the mean of its divisors is an integer number (643188).

Almost surely, 260130224 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 60130224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115773840).

60130224 is an abundant number, since it is smaller than the sum of its proper divisors (171417456).

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

60130224 is a wasteful number, since it uses less digits than its factorization.

60130224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 60130224 is about 7754.3680593585. The cubic root of 60130224 is about 391.7697870821.

The spelling of 60130224 in words is "sixty million, one hundred thirty thousand, two hundred twenty-four".