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60138680 = 2357261503
BaseRepresentation
bin1110010101101…
…0010010111000
311012011100202112
43211122102320
5110343414210
65544551452
71330112300
oct345322270
9135140675
1060138680
1130a46098
1218182588
13c5c8124
147db6600
15542dd05
hex395a4b8

60138680 has 96 divisors (see below), whose sum is σ = 160302240. Its totient is φ = 20240640.

The previous prime is 60138647. The next prime is 60138763. The reversal of 60138680 is 8683106.

60138680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 119309 + ... + 119811.

It is an arithmetic number, because the mean of its divisors is an integer number (1669815).

Almost surely, 260138680 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 60138680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80151120).

60138680 is an abundant number, since it is smaller than the sum of its proper divisors (100163560).

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

60138680 is a wasteful number, since it uses less digits than its factorization.

60138680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 60138680 is about 7754.9132812688. The cubic root of 60138680 is about 391.7881508368.

The spelling of 60138680 in words is "sixty million, one hundred thirty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 61 70 98 122 140 196 244 245 280 305 392 427 488 490 503 610 854 980 1006 1220 1708 1960 2012 2135 2440 2515 2989 3416 3521 4024 4270 5030 5978 7042 8540 10060 11956 14084 14945 17080 17605 20120 23912 24647 28168 29890 30683 35210 49294 59780 61366 70420 98588 119560 122732 123235 140840 153415 197176 214781 245464 246470 306830 429562 492940 613660 859124 985880 1073905 1227320 1503467 1718248 2147810 3006934 4295620 6013868 7517335 8591240 12027736 15034670 30069340 60138680