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112730440 = 2354761983
BaseRepresentation
bin1101011100000…
…10000101001000
321212010022002111
412232002011020
5212324333230
615104112104
72536123114
oct656020510
9255108074
10112730440
11586a7059
1231905634
131a480104
1410d86744
159d6b92a
hex6b82148

112730440 has 64 divisors (see below), whose sum is σ = 263554560. Its totient is φ = 43365120.

The previous prime is 112730437. The next prime is 112730447. The reversal of 112730440 is 44037211.

It is not an unprimeable number, because it can be changed into a prime (112730447) 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, 114189 + ... + 115171.

It is an arithmetic number, because the mean of its divisors is an integer number (4118040).

Almost surely, 2112730440 is an apocalyptic number.

112730440 is a gapful number since it is divisible by the number (10) 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 112730440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131777280).

112730440 is an abundant number, since it is smaller than the sum of its proper divisors (150824120).

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

112730440 is a wasteful number, since it uses less digits than its factorization.

112730440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 112730440 is about 10617.4592064203. The cubic root of 112730440 is about 483.0740784292.

Adding to 112730440 its reverse (44037211), we get a palindrome (156767651).

The spelling of 112730440 in words is "one hundred twelve million, seven hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 61 94 122 188 235 244 305 376 470 488 610 940 983 1220 1880 1966 2440 2867 3932 4915 5734 7864 9830 11468 14335 19660 22936 28670 39320 46201 57340 59963 92402 114680 119926 184804 231005 239852 299815 369608 462010 479704 599630 924020 1199260 1848040 2398520 2818261 5636522 11273044 14091305 22546088 28182610 56365220 112730440