Search a number
-
+
112670532 = 2232131912671
BaseRepresentation
bin1101011011100…
…11011101000100
321212000020220200
412231303131010
5212320424112
615102530500
72535453342
oct655633504
9255006820
10112670532
1158666047
1231896a30
131a45ba70
1410d6c992
159d58cdc
hex6b73744

112670532 has 72 divisors (see below), whose sum is σ = 322882560. Its totient is φ = 32840640.

The previous prime is 112670531. The next prime is 112670533. The reversal of 112670532 is 235076211.

It is a happy number.

112670532 is a `hidden beast` number, since 1 + 126 + 7 + 0 + 532 = 666.

It is an interprime number because it is at equal distance from previous prime (112670531) and next prime (112670533).

It is a junction number, because it is equal to n+sod(n) for n = 112670496 and 112670505.

It is not an unprimeable number, because it can be changed into a prime (112670531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2557 + ... + 15227.

It is an arithmetic number, because the mean of its divisors is an integer number (4484480).

Almost surely, 2112670532 is an apocalyptic number.

112670532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112670532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161441280).

112670532 is an abundant number, since it is smaller than the sum of its proper divisors (210212028).

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

112670532 is a wasteful number, since it uses less digits than its factorization.

112670532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12713 (or 12708 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 112670532 is about 10614.6376292363. The cubic root of 112670532 is about 482.9884903961.

The spelling of 112670532 in words is "one hundred twelve million, six hundred seventy thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 8892 12671 25342 38013 50684 76026 114039 152052 164723 228078 240749 329446 456156 481498 494169 658892 722247 962996 988338 1444494 1482507 1976676 2166741 2888988 2965014 3129737 4333482 5930028 6259474 8666964 9389211 12518948 18778422 28167633 37556844 56335266 112670532