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112152120 = 23355231787
BaseRepresentation
bin1101010111101…
…00111000111000
321211000220210020
412223310320320
5212202331440
615043450440
72531164053
oct653647070
9254026706
10112152120
1158341603
1231686a20
131a309b02
1410c75a9a
159ca53d0
hex6af4e38

112152120 has 64 divisors (see below), whose sum is σ = 337288320. Its totient is φ = 29833344.

The previous prime is 112152101. The next prime is 112152121. The reversal of 112152120 is 21251211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112152120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112152121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61867 + ... + 63653.

It is an arithmetic number, because the mean of its divisors is an integer number (5270130).

Almost surely, 2112152120 is an apocalyptic number.

112152120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112152120 is an abundant number, since it is smaller than the sum of its proper divisors (225136200).

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

112152120 is a wasteful number, since it uses less digits than its factorization.

112152120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 112152120 is about 10590.1897999989. The cubic root of 112152120 is about 482.2465867509.

Subtracting from 112152120 its reverse (21251211), we obtain a palindrome (90900909).

The spelling of 112152120 in words is "one hundred twelve million, one hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 523 1046 1569 1787 2092 2615 3138 3574 4184 5230 5361 6276 7148 7845 8935 10460 10722 12552 14296 15690 17870 20920 21444 26805 31380 35740 42888 53610 62760 71480 107220 214440 934601 1869202 2803803 3738404 4673005 5607606 7476808 9346010 11215212 14019015 18692020 22430424 28038030 37384040 56076060 112152120