Search a number
-
+
116011602 = 2397421
BaseRepresentation
bin1101110101000…
…11001001010010
322002022000000000
412322203021102
5214144332402
615302310430
72606040150
oct672431122
9262260000
10116011602
115a538263
1232a28416
131b05b725
141159c3d0
15a2b8c1c
hex6ea3252

116011602 has 80 divisors (see below), whose sum is σ = 299019072. Its totient is φ = 33067440.

The previous prime is 116011601. The next prime is 116011603. The reversal of 116011602 is 206110611.

Subtracting 116011602 from its reverse (206110611), we obtain a palindrome (90099009).

It can be divided in two parts, 11601 and 1602, that added together give a triangular number (13203 = T162).

116011602 is a `hidden beast` number, since 1 + 1 + 60 + 1 + 1 + 602 = 666.

It is an interprime number because it is at equal distance from previous prime (116011601) and next prime (116011603).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (116011601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 275352 + ... + 275772.

Almost surely, 2116011602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116011602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149509536).

116011602 is an abundant number, since it is smaller than the sum of its proper divisors (183007470).

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

116011602 is an frugal number, since it uses more digits than its factorization.

116011602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 116011602 is about 10770.8682101305. The cubic root of 116011602 is about 487.7161550314.

The spelling of 116011602 in words is "one hundred sixteen million, eleven thousand, six hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 421 486 567 729 842 1134 1263 1458 1701 2187 2526 2947 3402 3789 4374 5103 5894 6561 7578 8841 10206 11367 13122 15309 17682 19683 22734 26523 30618 34101 39366 45927 53046 68202 79569 91854 102303 137781 159138 204606 238707 275562 306909 477414 613818 716121 920727 1432242 1841454 2148363 2762181 4296726 5524362 6445089 8286543 12890178 16573086 19335267 38670534 58005801 116011602