Search a number
-
+
60129216 = 263471657
BaseRepresentation
bin1110010101011…
…1111111000000
311012010212210000
43211113333000
5110343113331
65544440000
71330042560
oct345277700
9135125700
1060129216
1130a39a74
1218179000
13c5c3a24
147db2da0
15542b0e6
hex3957fc0

60129216 has 140 divisors (see below), whose sum is σ = 203827888. Its totient is φ = 17169408.

The previous prime is 60129197. The next prime is 60129229. The reversal of 60129216 is 61292106.

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 60129216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35460 + ... + 37116.

Almost surely, 260129216 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 60129216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101913944).

60129216 is an abundant number, since it is smaller than the sum of its proper divisors (143698672).

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

60129216 is a wasteful number, since it uses less digits than its factorization.

60129216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 60129216 is about 7754.3030634610. The cubic root of 60129216 is about 391.7675979104.

The spelling of 60129216 in words is "sixty million, one hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1657 1728 2016 2268 2592 3024 3314 4032 4536 4971 5184 6048 6628 9072 9942 11599 12096 13256 14913 18144 19884 23198 26512 29826 34797 36288 39768 44739 46396 53024 59652 69594 79536 89478 92792 104391 106048 119304 134217 139188 159072 178956 185584 208782 238608 268434 278376 313173 318144 357912 371168 417564 477216 536868 556752 626346 715824 742336 835128 939519 954432 1073736 1113504 1252692 1431648 1670256 1879038 2147472 2227008 2505384 2863296 3340512 3758076 4294944 5010768 6681024 7516152 8589888 10021536 15032304 20043072 30064608 60129216