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93000060 = 223251971383
BaseRepresentation
bin1011000101100…
…01000101111100
320110222220002200
411202301011330
5142302000220
613121151500
72206326126
oct542610574
9213886080
1093000060
114855035a
122718b590
131636262a
14c4cc216
158270890
hex58b117c

93000060 has 144 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 23103360.

The previous prime is 93000059. The next prime is 93000067. The reversal of 93000060 is 6000039.

It is a super-2 number, since 2×930000602 = 17298022320007200, which contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 92999997 and 93000042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93000067) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 242629 + ... + 243011.

It is an arithmetic number, because the mean of its divisors is an integer number (2096640).

Almost surely, 293000060 is an apocalyptic number.

93000060 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93000060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

93000060 is an abundant number, since it is smaller than the sum of its proper divisors (208916100).

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

93000060 is a wasteful number, since it uses less digits than its factorization.

93000060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 93000060 is about 9643.6538718475. The cubic root of 93000060 is about 453.0655870418.

The spelling of 93000060 in words is "ninety-three million, sixty", and is thus an aban number and an uban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 71 76 90 95 114 142 171 180 190 213 228 284 285 342 355 380 383 426 570 639 684 710 766 852 855 1065 1140 1149 1278 1349 1420 1532 1710 1915 2130 2298 2556 2698 3195 3420 3447 3830 4047 4260 4596 5396 5745 6390 6745 6894 7277 7660 8094 11490 12141 12780 13490 13788 14554 16188 17235 20235 21831 22980 24282 26980 27193 29108 34470 36385 40470 43662 48564 54386 60705 65493 68940 72770 80940 81579 87324 108772 109155 121410 130986 135965 145540 163158 218310 242820 244737 261972 271930 326316 327465 407895 436620 489474 516667 543860 654930 815790 978948 1033334 1223685 1309860 1550001 1631580 2066668 2447370 2583335 3100002 4650003 4894740 5166670 6200004 7750005 9300006 10333340 15500010 18600012 23250015 31000020 46500030 93000060