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112542120 = 23325312617
BaseRepresentation
bin1101011010101…
…00000110101000
321211202201202200
412231110012220
5212302321440
615100100200
72534410065
oct655240650
9254681680
10112542120
1158588619
1231834660
131a415492
1410d37c6c
159d30c30
hex6b541a8

112542120 has 48 divisors (see below), whose sum is σ = 365763060. Its totient is φ = 30011136.

The previous prime is 112542071. The next prime is 112542139. The reversal of 112542120 is 21245211.

112542120 is a `hidden beast` number, since 1 + 1 + 2 + 542 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107371044 + 5171076 = 10362^2 + 2274^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 112542093 and 112542102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155949 + ... + 156668.

Almost surely, 2112542120 is an apocalyptic number.

112542120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112542120 is an abundant number, since it is smaller than the sum of its proper divisors (253220940).

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

112542120 is a wasteful number, since it uses less digits than its factorization.

112542120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312634 (or 312627 counting only the distinct ones).

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

The square root of 112542120 is about 10608.5870878265. The cubic root of 112542120 is about 482.8049313232.

Adding to 112542120 its reverse (21245211), we get a palindrome (133787331).

The spelling of 112542120 in words is "one hundred twelve million, five hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 312617 625234 937851 1250468 1563085 1875702 2500936 2813553 3126170 3751404 4689255 5627106 6252340 7502808 9378510 11254212 12504680 14067765 18757020 22508424 28135530 37514040 56271060 112542120