Search a number
-
+
60086016 = 28338693
BaseRepresentation
bin1110010100110…
…1011100000000
311012001200112000
43211031130000
5110340223031
65543504000
71326502614
oct345153400
9135050460
1060086016
1130a0a571
1218158000
13c5aa173
147da1344
15541d3e6
hex394d700

60086016 has 72 divisors (see below), whose sum is σ = 177705360. Its totient is φ = 20026368.

The previous prime is 60086003. The next prime is 60086017. The reversal of 60086016 is 61068006.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×600860162 = 7220658637504512, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60086017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2566 + ... + 11258.

It is an arithmetic number, because the mean of its divisors is an integer number (2468130).

Almost surely, 260086016 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 60086016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88852680).

60086016 is an abundant number, since it is smaller than the sum of its proper divisors (117619344).

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

60086016 is an equidigital number, since it uses as much as digits as its factorization.

60086016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8718 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 60086016 is about 7751.5170128176. The cubic root of 60086016 is about 391.6737532645.

The spelling of 60086016 in words is "sixty million, eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 8693 17386 26079 34772 52158 69544 78237 104316 139088 156474 208632 234711 278176 312948 417264 469422 556352 625896 834528 938844 1112704 1251792 1669056 1877688 2225408 2503584 3338112 3755376 5007168 6676224 7510752 10014336 15021504 20028672 30043008 60086016