Search a number
-
+
112426496 = 2971319127
BaseRepresentation
bin1101011001101…
…11111000000000
321211112212011022
412230313320000
5212240121441
615053405012
72533416020
oct654677000
9254485138
10112426496
1158509766
1231799768
131a3a4970
1410d07a80
159d0b84b
hex6b37e00

112426496 has 160 divisors (see below), whose sum is σ = 293314560. Its totient is φ = 41803776.

The previous prime is 112426487. The next prime is 112426513. The reversal of 112426496 is 694624211.

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 15 ways as a sum of consecutive naturals, for example, 885185 + ... + 885311.

It is an arithmetic number, because the mean of its divisors is an integer number (1833216).

Almost surely, 2112426496 is an apocalyptic number.

112426496 is a gapful number since it is divisible by the number (16) 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 112426496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146657280).

112426496 is an abundant number, since it is smaller than the sum of its proper divisors (180888064).

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

112426496 is a wasteful number, since it uses less digits than its factorization.

112426496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 112426496 is about 10603.1361398409. The cubic root of 112426496 is about 482.6395326091.

The spelling of 112426496 in words is "one hundred twelve million, four hundred twenty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 127 128 133 152 182 208 224 247 254 256 266 304 364 416 448 494 508 512 532 608 728 832 889 896 988 1016 1064 1216 1456 1651 1664 1729 1778 1792 1976 2032 2128 2413 2432 2912 3302 3328 3458 3556 3584 3952 4064 4256 4826 4864 5824 6604 6656 6916 7112 7904 8128 8512 9652 9728 11557 11648 13208 13832 14224 15808 16256 16891 17024 19304 23114 23296 26416 27664 28448 31369 31616 32512 33782 34048 38608 46228 46592 52832 55328 56896 62738 63232 65024 67564 68096 77216 92456 105664 110656 113792 125476 126464 135128 154432 184912 211328 219583 221312 227584 250952 270256 308864 369824 422656 439166 442624 455168 501904 540512 617728 739648 845312 878332 885248 1003808 1081024 1235456 1479296 1756664 2007616 2162048 2958592 3513328 4015232 4324096 5917184 7026656 8030464 8648192 14053312 16060928 28106624 56213248 112426496