Search a number
-
+
112594104 = 23337113659
BaseRepresentation
bin1101011011000…
…00110010111000
321211212101002000
412231200302320
5212311002404
615101141000
72535014460
oct655406270
9254771060
10112594104
1158613687
123185a760
131a43303c
1410d4cba0
159d41339
hex6b60cb8

112594104 has 128 divisors (see below), whose sum is σ = 361152000. Its totient is φ = 31836672.

The previous prime is 112594063. The next prime is 112594117. The reversal of 112594104 is 401495211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170527 + ... + 171185.

It is an arithmetic number, because the mean of its divisors is an integer number (2821500).

Almost surely, 2112594104 is an apocalyptic number.

112594104 is a gapful number since it is divisible by the number (14) 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 112594104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180576000).

112594104 is an abundant number, since it is smaller than the sum of its proper divisors (248557896).

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

112594104 is a wasteful number, since it uses less digits than its factorization.

112594104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 112594104 is about 10611.0368956102. The cubic root of 112594104 is about 482.8792568830.

The spelling of 112594104 in words is "one hundred twelve million, five hundred ninety-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 113 126 168 189 216 226 252 339 378 452 504 659 678 756 791 904 1017 1318 1356 1512 1582 1977 2034 2373 2636 2712 3051 3164 3954 4068 4613 4746 5272 5931 6102 6328 7119 7908 8136 9226 9492 11862 12204 13839 14238 15816 17793 18452 18984 21357 23724 24408 27678 28476 35586 36904 41517 42714 47448 55356 56952 71172 74467 83034 85428 110712 124551 142344 148934 166068 170856 223401 249102 297868 332136 446802 498204 521269 595736 670203 893604 996408 1042538 1340406 1563807 1787208 2010609 2085076 2680812 3127614 4021218 4170152 4691421 5361624 6255228 8042436 9382842 12510456 14074263 16084872 18765684 28148526 37531368 56297052 112594104