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112889010 = 235131717027
BaseRepresentation
bin1101011101010…
…00110010110010
321212102100121110
412232220302302
5212344422020
615111334150
72540353323
oct656506262
9255370543
10112889010
11587a5203
1231981356
131a507340
1410dc844a
159d9d8e0
hex6ba8cb2

112889010 has 64 divisors (see below), whose sum is σ = 308956032. Its totient is φ = 26151936.

The previous prime is 112889003. The next prime is 112889017. The reversal of 112889010 is 10988211.

It is an interprime number because it is at equal distance from previous prime (112889003) and next prime (112889017).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (112889017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1884 + ... + 15143.

It is an arithmetic number, because the mean of its divisors is an integer number (4827438).

Almost surely, 2112889010 is an apocalyptic number.

112889010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112889010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154478016).

112889010 is an abundant number, since it is smaller than the sum of its proper divisors (196067022).

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

112889010 is a wasteful number, since it uses less digits than its factorization.

112889010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17067.

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 112889010 is about 10624.9239997282. The cubic root of 112889010 is about 483.3004744474.

The spelling of 112889010 in words is "one hundred twelve million, eight hundred eighty-nine thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 510 663 1105 1326 2210 3315 6630 17027 34054 51081 85135 102162 170270 221351 255405 289459 442702 510810 578918 664053 868377 1106755 1328106 1447295 1736754 2213510 2894590 3320265 3762967 4341885 6640530 7525934 8683770 11288901 18814835 22577802 37629670 56444505 112889010