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112442424 = 23347831201
BaseRepresentation
bin1101011001110…
…11110000111000
321211120200000020
412230323300320
5212241124144
615054010440
72533513323
oct654736070
9254520006
10112442424
115851a726
12317a6a20
131a3abca3
1410d0d7ba
159d11419
hex6b3bc38

112442424 has 64 divisors (see below), whose sum is σ = 290787840. Its totient is φ = 36211200.

The previous prime is 112442419. The next prime is 112442461. The reversal of 112442424 is 424244211.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 112442394 and 112442403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93024 + ... + 94224.

It is an arithmetic number, because the mean of its divisors is an integer number (4543560).

Almost surely, 2112442424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112442424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145393920).

112442424 is an abundant number, since it is smaller than the sum of its proper divisors (178345416).

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

112442424 is a wasteful number, since it uses less digits than its factorization.

112442424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1336 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 112442424 is about 10603.8872117729. The cubic root of 112442424 is about 482.6623241506.

Adding to 112442424 its reverse (424244211), we get a palindrome (536686635).

The spelling of 112442424 in words is "one hundred twelve million, four hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 47 83 94 141 166 188 249 282 332 376 498 564 664 996 1128 1201 1992 2402 3603 3901 4804 7206 7802 9608 11703 14412 15604 23406 28824 31208 46812 56447 93624 99683 112894 169341 199366 225788 299049 338682 398732 451576 598098 677364 797464 1196196 1354728 2392392 4685101 9370202 14055303 18740404 28110606 37480808 56221212 112442424