Search a number
-
+
76704102 = 232171979167
BaseRepresentation
bin1001001001001…
…10100101100110
312100022222020200
410210212211212
5124114012402
611340011330
71620655056
oct444464546
9170288220
1076704102
113a32aa22
1221830b46
1312b78157
14a289566
156b0221c
hex4926966

76704102 has 96 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 22374144.

The previous prime is 76704097. The next prime is 76704109. The reversal of 76704102 is 20140767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76704109) 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, 459223 + ... + 459389.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 276704102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76704102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

76704102 is an abundant number, since it is smaller than the sum of its proper divisors (111993498).

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

76704102 is a wasteful number, since it uses less digits than its factorization.

76704102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 76704102 is about 8758.0878049949. The cubic root of 76704102 is about 424.8864324005.

Adding to 76704102 its reverse (20140767), we get a palindrome (96844869).

The spelling of 76704102 in words is "seventy-six million, seven hundred four thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 79 102 114 153 158 167 171 237 306 323 334 342 474 501 646 711 969 1002 1343 1422 1501 1503 1938 2686 2839 2907 3002 3006 3173 4029 4503 5678 5814 6346 8058 8517 9006 9519 12087 13193 13509 17034 19038 24174 25517 25551 26386 27018 28557 39579 51034 51102 53941 57114 76551 79158 107882 118737 153102 161823 224281 229653 237474 250667 323646 448562 459306 485469 501334 672843 752001 970938 1345686 1504002 2018529 2256003 4037058 4261339 4512006 8522678 12784017 25568034 38352051 76704102