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60090128 = 247532191
BaseRepresentation
bin1110010100111…
…0011100010000
311012001220011022
43211032130100
5110340341003
65543535012
71326520610
oct345163420
9135056138
1060090128
1130a1266a
121815a468
13c5abcb7
147da2a40
15541e738
hex394e710

60090128 has 60 divisors (see below), whose sum is σ = 136324608. Its totient is φ = 25134720.

The previous prime is 60090127. The next prime is 60090137. The reversal of 60090128 is 82109006.

It is a super-2 number, since 2×600901282 = 7221646966112768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 60090097 and 60090106.

It is not an unprimeable number, because it can be changed into a prime (60090127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314513 + ... + 314703.

Almost surely, 260090128 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 60090128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68162304).

60090128 is an abundant number, since it is smaller than the sum of its proper divisors (76234480).

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

60090128 is a wasteful number, since it uses less digits than its factorization.

60090128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 60090128 is about 7751.7822466837. The cubic root of 60090128 is about 391.6826878211.

The spelling of 60090128 in words is "sixty million, ninety thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 191 212 371 382 424 742 764 848 1337 1484 1528 2674 2809 2968 3056 5348 5618 5936 10123 10696 11236 19663 20246 21392 22472 39326 40492 44944 70861 78652 80984 141722 157304 161968 283444 314608 536519 566888 1073038 1133776 2146076 3755633 4292152 7511266 8584304 15022532 30045064 60090128