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60130026 = 2341141823
BaseRepresentation
bin1110010101100…
…0001011101010
311012010220220000
43211120023222
5110343130101
65544443430
71330045125
oct345301352
9135126800
1060130026
1130a3a640
1218179576
13c5c41c8
147db33bc
15542b486
hex39582ea

60130026 has 80 divisors (see below), whose sum is σ = 150752448. Its totient is φ = 17755200.

The previous prime is 60130013. The next prime is 60130043. The reversal of 60130026 is 62003106.

It is a happy number.

60130026 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 60129990 and 60130008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72651 + ... + 73473.

Almost surely, 260130026 is an apocalyptic number.

60130026 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 60130026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75376224).

60130026 is an abundant number, since it is smaller than the sum of its proper divisors (90622422).

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

60130026 is a wasteful number, since it uses less digits than its factorization.

60130026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 60130026 is about 7754.3552923502. The cubic root of 60130026 is about 391.7693570682.

Subtracting 60130026 from its reverse (62003106), we obtain a triangular number (1873080 = T1935).

The spelling of 60130026 in words is "sixty million, one hundred thirty thousand, twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 81 82 99 123 162 198 246 297 369 451 594 738 823 891 902 1107 1353 1646 1782 2214 2469 2706 3321 4059 4938 6642 7407 8118 9053 12177 14814 18106 22221 24354 27159 33743 36531 44442 54318 66663 67486 73062 81477 101229 133326 162954 202458 244431 303687 371173 488862 607374 733293 742346 911061 1113519 1466586 1822122 2227038 2733183 3340557 5466366 6681114 10021671 20043342 30065013 60130026