Search a number
-
+
18768078 = 2337241173
BaseRepresentation
bin100011110011…
…0000011001110
31022022111222000
41013212003032
514301034303
61510133130
7315345300
oct107460316
938274860
1018768078
11a65980a
1263511a6
133b71794
1426c7970
1519aada3
hex11e60ce

18768078 has 96 divisors (see below), whose sum is σ = 49986720. Its totient is φ = 5201280.

The previous prime is 18768073. The next prime is 18768089. The reversal of 18768078 is 87086781.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18768073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108400 + ... + 108572.

It is an arithmetic number, because the mean of its divisors is an integer number (520695).

Almost surely, 218768078 is an apocalyptic number.

18768078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18768078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24993360).

18768078 is an abundant number, since it is smaller than the sum of its proper divisors (31218642).

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

18768078 is a wasteful number, since it uses less digits than its factorization.

18768078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 18768078 is about 4332.2139836347. The cubic root of 18768078 is about 265.7499959438.

It can be divided in two parts, 187 and 68078, that added together give a triangular number (68265 = T369).

The spelling of 18768078 in words is "eighteen million, seven hundred sixty-eight thousand, seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 49 54 63 82 98 123 126 147 173 189 246 287 294 346 369 378 441 519 574 738 861 882 1038 1107 1211 1323 1557 1722 2009 2214 2422 2583 2646 3114 3633 4018 4671 5166 6027 7093 7266 7749 8477 9342 10899 12054 14186 15498 16954 18081 21279 21798 25431 32697 36162 42558 49651 50862 54243 63837 65394 76293 99302 108486 127674 148953 152586 191511 228879 297906 347557 383022 446859 457758 695114 893718 1042671 1340577 2085342 2681154 3128013 6256026 9384039 18768078