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112420152 = 23321329239
BaseRepresentation
bin1101011001101…
…10010100111000
321211112112110100
412230312110320
5212234421102
615053315400
72533361355
oct654662470
9254475410
10112420152
1158504a19
1231795b60
131a3a1b00
1410d0562c
159d09a1c
hex6b36538

112420152 has 72 divisors (see below), whose sum is σ = 329729400. Its totient is φ = 34587072.

The previous prime is 112420141. The next prime is 112420157. The reversal of 112420152 is 251024211.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112420157) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7549 + ... + 16787.

It is an arithmetic number, because the mean of its divisors is an integer number (4579575).

Almost surely, 2112420152 is an apocalyptic number.

112420152 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 112420152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164864700).

112420152 is an abundant number, since it is smaller than the sum of its proper divisors (217309248).

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

112420152 is a wasteful number, since it uses less digits than its factorization.

112420152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9277 (or 9257 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 112420152 is about 10602.8369788467. The cubic root of 112420152 is about 482.6304543138.

Adding to 112420152 its reverse (251024211), we get a palindrome (363444363).

The spelling of 112420152 in words is "one hundred twelve million, four hundred twenty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 9239 12168 18478 27717 36956 55434 73912 83151 110868 120107 166302 221736 240214 332604 360321 480428 665208 720642 960856 1080963 1441284 1561391 2161926 2882568 3122782 4323852 4684173 6245564 8647704 9368346 12491128 14052519 18736692 28105038 37473384 56210076 112420152