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112891480 = 23513613559
BaseRepresentation
bin1101011101010…
…01011001011000
321212102110222221
412232221121120
5212400011410
615111353424
72540363452
oct656513130
9255373887
10112891480
11587a7049
1231982874
131a5084c0
1410dc92d2
159d9e4da
hex6ba9658

112891480 has 64 divisors (see below), whose sum is σ = 278107200. Its totient is φ = 40988160.

The previous prime is 112891459. The next prime is 112891481. The reversal of 112891480 is 84198211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112891481) 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, 29941 + ... + 33499.

It is an arithmetic number, because the mean of its divisors is an integer number (4345425).

Almost surely, 2112891480 is an apocalyptic number.

112891480 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 112891480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139053600).

112891480 is an abundant number, since it is smaller than the sum of its proper divisors (165215720).

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

112891480 is a wasteful number, since it uses less digits than its factorization.

112891480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 112891480 is about 10625.0402352179. The cubic root of 112891480 is about 483.3039992767.

It can be divided in two parts, 11289 and 1480, that added together give a square (12769 = 1132).

The spelling of 112891480 in words is "one hundred twelve million, eight hundred ninety-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 244 260 305 488 520 610 793 1220 1586 2440 3172 3559 3965 6344 7118 7930 14236 15860 17795 28472 31720 35590 46267 71180 92534 142360 185068 217099 231335 370136 434198 462670 868396 925340 1085495 1736792 1850680 2170990 2822287 4341980 5644574 8683960 11289148 14111435 22578296 28222870 56445740 112891480