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60086680 = 23531471031
BaseRepresentation
bin1110010100110…
…1100110011000
311012001201102121
43211031212120
5110340233210
65543511024
71326504553
oct345154630
9135051377
1060086680
1130a10015
1218158474
13c5aa564
147da169a
15541d6da
hex394d998

60086680 has 64 divisors (see below), whose sum is σ = 142663680. Its totient is φ = 22742400.

The previous prime is 60086671. The next prime is 60086701. The reversal of 60086680 is 8668006.

It is a happy number.

60086680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×600866802 = 7220818226844800, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 57765 + ... + 58795.

It is an arithmetic number, because the mean of its divisors is an integer number (2229120).

Almost surely, 260086680 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 60086680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71331840).

60086680 is an abundant number, since it is smaller than the sum of its proper divisors (82577000).

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

60086680 is a wasteful number, since it uses less digits than its factorization.

60086680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 60086680 is about 7751.5598430251. The cubic root of 60086680 is about 391.6751960317.

The spelling of 60086680 in words is "sixty million, eighty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 47 62 94 124 155 188 235 248 310 376 470 620 940 1031 1240 1457 1880 2062 2914 4124 5155 5828 7285 8248 10310 11656 14570 20620 29140 31961 41240 48457 58280 63922 96914 127844 159805 193828 242285 255688 319610 387656 484570 639220 969140 1278440 1502167 1938280 3004334 6008668 7510835 12017336 15021670 30043340 60086680