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18160768 = 27532677
BaseRepresentation
bin100010101000…
…1110010000000
31021011122220001
41011101302000
514122121033
61445125344
7310235563
oct105216200
937148801
1018160768
11a2844aa
1260b9854
1339bb222
1425aa4da
1518dae7d
hex1151c80

18160768 has 32 divisors (see below), whose sum is σ = 36876060. Its totient is φ = 8905728.

The previous prime is 18160763. The next prime is 18160771. The reversal of 18160768 is 86706181.

It can be written as a sum of positive squares in 2 ways, for example, as 17372224 + 788544 = 4168^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (18160763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5446 + ... + 8122.

Almost surely, 218160768 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 18160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18438030).

18160768 is an abundant number, since it is smaller than the sum of its proper divisors (18715292).

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

18160768 is an equidigital number, since it uses as much as digits as its factorization.

18160768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 18160768 is about 4261.5452596447. The cubic root of 18160768 is about 262.8520711957.

The spelling of 18160768 in words is "eighteen million, one hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 2677 3392 5354 6784 10708 21416 42832 85664 141881 171328 283762 342656 567524 1135048 2270096 4540192 9080384 18160768