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60130746 = 23213298861
BaseRepresentation
bin1110010101100…
…0010110111010
311012010221212200
43211120112322
5110343140441
65544451030
71330050204
oct345302672
9135127780
1060130746
1130a40135
1218179a76
13c5c4630
147db3774
15542b7b6
hex39585ba

60130746 has 48 divisors (see below), whose sum is σ = 145159560. Its totient is φ = 17861760.

The previous prime is 60130739. The next prime is 60130747. The reversal of 60130746 is 64703106.

It can be written as a sum of positive squares in 4 ways, for example, as 56836521 + 3294225 = 7539^2 + 1815^2 .

It is a super-2 number, since 2×601307462 = 7231413229033032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (60130747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2356 + ... + 11216.

Almost surely, 260130746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60130746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72579780).

60130746 is an abundant number, since it is smaller than the sum of its proper divisors (85028814).

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

60130746 is a wasteful number, since it uses less digits than its factorization.

60130746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8911 (or 8908 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 60130746 is about 7754.4017177343. The cubic root of 60130746 is about 391.7709207507.

The spelling of 60130746 in words is "sixty million, one hundred thirty thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3393 6786 8861 17722 26583 53166 79749 115193 159498 230386 256969 345579 513938 691158 770907 1036737 1541814 2073474 2312721 3340597 4625442 6681194 10021791 20043582 30065373 60130746