Search a number
-
+
112983500 = 22537191699
BaseRepresentation
bin1101011101111…
…11110111001100
321212121011020002
412232333313030
5212410433000
615113343432
72541225650
oct656776714
9255534202
10112983500
115885a1a3
1231a07b78
131a53b356
1411010a60
159dbb8d5
hex6bbfdcc

112983500 has 96 divisors (see below), whose sum is σ = 297024000. Its totient is φ = 36676800.

The previous prime is 112983491. The next prime is 112983503. The reversal of 112983500 is 5389211.

It is not an unprimeable number, because it can be changed into a prime (112983503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65651 + ... + 67349.

It is an arithmetic number, because the mean of its divisors is an integer number (3094000).

Almost surely, 2112983500 is an apocalyptic number.

112983500 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 112983500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148512000).

112983500 is an abundant number, since it is smaller than the sum of its proper divisors (184040500).

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

112983500 is a wasteful number, since it uses less digits than its factorization.

112983500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 112983500 is about 10629.3696896853. The cubic root of 112983500 is about 483.4352803846.

The spelling of 112983500 in words is "one hundred twelve million, nine hundred eighty-three thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 125 133 140 175 190 250 266 350 380 475 500 532 665 700 875 950 1330 1699 1750 1900 2375 2660 3325 3398 3500 4750 6650 6796 8495 9500 11893 13300 16625 16990 23786 32281 33250 33980 42475 47572 59465 64562 66500 84950 118930 129124 161405 169900 212375 225967 237860 297325 322810 424750 451934 594650 645620 807025 849500 903868 1129835 1189300 1486625 1614050 2259670 2973250 3228100 4035125 4519340 5649175 5946500 8070250 11298350 16140500 22596700 28245875 56491750 112983500