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112421232 = 243271110139
BaseRepresentation
bin1101011001101…
…10100101110000
321211112120221100
412230312211300
5212234434412
615053324400
72533364460
oct654664560
9254476840
10112421232
1158505810
1231796700
131a3a2451
1410d05ba0
159d09edc
hex6b36970

112421232 has 120 divisors (see below), whose sum is σ = 392296320. Its totient is φ = 29197440.

The previous prime is 112421219. The next prime is 112421249. The reversal of 112421232 is 232124211.

It is a happy number.

112421232 is a `hidden beast` number, since 1 + 12 + 421 + 232 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6019 + ... + 16157.

It is an arithmetic number, because the mean of its divisors is an integer number (3269136).

Almost surely, 2112421232 is an apocalyptic number.

112421232 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 112421232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196148160).

112421232 is an abundant number, since it is smaller than the sum of its proper divisors (279875088).

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

112421232 is a wasteful number, since it uses less digits than its factorization.

112421232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10171 (or 10162 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 112421232 is about 10602.8879084898. The cubic root of 112421232 is about 482.6319998232.

Adding to 112421232 its reverse (232124211), we get a palindrome (344545443).

The spelling of 112421232 in words is "one hundred twelve million, four hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 10139 11088 20278 30417 40556 60834 70973 81112 91251 111529 121668 141946 162224 182502 212919 223058 243336 283892 334587 365004 425838 446116 486672 567784 638757 669174 730008 780703 851676 892232 1003761 1135568 1277514 1338348 1460016 1561406 1703352 1784464 2007522 2342109 2555028 2676696 3122812 3406704 4015044 4684218 5110056 5353392 6245624 7026327 8030088 9368436 10220112 12491248 14052654 16060176 18736872 28105308 37473744 56210616 112421232