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18980766 = 2327971553
BaseRepresentation
bin100100001100…
…1111110011110
31022201022201100
41020121332132
514324341031
61514453530
7320222340
oct110317636
938638640
1018980766
11a794592
1264342a6
133c1752c
142741290
1519edde6
hex1219f9e

18980766 has 48 divisors (see below), whose sum is σ = 47515104. Its totient is φ = 5363712.

The previous prime is 18980749. The next prime is 18980779. The reversal of 18980766 is 66708981.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11446 + ... + 12998.

It is an arithmetic number, because the mean of its divisors is an integer number (989898).

Almost surely, 218980766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18980766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23757552).

18980766 is an abundant number, since it is smaller than the sum of its proper divisors (28534338).

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

18980766 is a wasteful number, since it uses less digits than its factorization.

18980766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 18980766 is about 4356.6920937794. The cubic root of 18980766 is about 266.7500923007.

The spelling of 18980766 in words is "eighteen million, nine hundred eighty thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 291 582 679 873 1358 1553 1746 2037 3106 4074 4659 6111 9318 10871 12222 13977 21742 27954 32613 65226 97839 150641 195678 301282 451923 903846 1054487 1355769 2108974 2711538 3163461 6326922 9490383 18980766