Search a number
-
+
68000112 = 24323115233
BaseRepresentation
bin1000000110110…
…01100101110000
311201221202121200
410003121211300
5114402000422
610425251200
71453664025
oct403314560
9151852550
1068000112
1135425544
121a933b00
131111b46b
14906154c
155e832ac
hex40d9970

68000112 has 60 divisors (see below), whose sum is σ = 196457664. Its totient is φ = 21934080.

The previous prime is 68000077. The next prime is 68000129. The reversal of 68000112 is 21100086.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3153 + ... + 12080.

Almost surely, 268000112 is an apocalyptic number.

68000112 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

68000112 is an abundant number, since it is smaller than the sum of its proper divisors (128457552).

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

68000112 is a wasteful number, since it uses less digits than its factorization.

68000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15278 (or 15269 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 68000112 is about 8246.2180422300. The cubic root of 68000112 is about 408.1657342825.

Adding to 68000112 its reverse (21100086), we get a palindrome (89100198).

The spelling of 68000112 in words is "sixty-eight million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 15233 30466 45699 60932 91398 121864 137097 182796 243728 274194 365592 472223 548388 731184 944446 1096776 1416669 1888892 2193552 2833338 3777784 4250007 5666676 7555568 8500014 11333352 17000028 22666704 34000056 68000112