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60368 = 247311
BaseRepresentation
bin1110101111010000
310001210212
432233100
53412433
61143252
7341000
oct165720
9101725
1060368
11413a0
122ab28
1321629
1418000
1512d48
hexebd0

60368 has 40 divisors (see below), whose sum is σ = 148800. Its totient is φ = 23520.

The previous prime is 60353. The next prime is 60373. The reversal of 60368 is 86306.

60368 is a Rhonda number in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 60368.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5483 + ... + 5493.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

260368 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 60368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400).

60368 is an abundant number, since it is smaller than the sum of its proper divisors (88432).

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

60368 is a wasteful number, since it uses less digits than its factorization.

60368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 60368 is about 245.6990028470. The cubic root of 60368 is about 39.2285506292.

The spelling of 60368 in words is "sixty thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 343 392 539 616 686 784 1078 1232 1372 2156 2744 3773 4312 5488 7546 8624 15092 30184 60368