Search a number
-
+
112912488 = 23331379509
BaseRepresentation
bin1101011101011…
…10100001101000
321212110112211000
412232232201220
5212401144423
615112035000
72540511633
oct656564150
9255415730
10112912488
1158810907
1231992a60
131a514c30
1410dd2c1a
159da5843
hex6bae868

112912488 has 128 divisors (see below), whose sum is σ = 342720000. Its totient is φ = 34235136.

The previous prime is 112912477. The next prime is 112912517. The reversal of 112912488 is 884219211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221578 + ... + 222086.

It is an arithmetic number, because the mean of its divisors is an integer number (2677500).

Almost surely, 2112912488 is an apocalyptic number.

112912488 is a gapful number since it is divisible by the number (18) 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 112912488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171360000).

112912488 is an abundant number, since it is smaller than the sum of its proper divisors (229807512).

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

112912488 is a wasteful number, since it uses less digits than its factorization.

112912488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 606 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 112912488 is about 10626.0287972506. The cubic root of 112912488 is about 483.3339767992. Note that the first 3 decimals are identical.

The spelling of 112912488 in words is "one hundred twelve million, nine hundred twelve thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 79 104 108 117 156 158 216 234 237 312 316 351 468 474 509 632 702 711 936 948 1018 1027 1404 1422 1527 1896 2036 2054 2133 2808 2844 3054 3081 4072 4108 4266 4581 5688 6108 6162 6617 8216 8532 9162 9243 12216 12324 13234 13743 17064 18324 18486 19851 24648 26468 27486 27729 36648 36972 39702 40211 52936 54972 55458 59553 73944 79404 80422 109944 110916 119106 120633 158808 160844 178659 221832 238212 241266 321688 357318 361899 476424 482532 522743 714636 723798 965064 1045486 1085697 1429272 1447596 1568229 2090972 2171394 2895192 3136458 4181944 4342788 4704687 6272916 8685576 9409374 12545832 14114061 18818748 28228122 37637496 56456244 112912488