Search a number
-
+
112436730 = 23257317563
BaseRepresentation
bin1101011001110…
…10010111111010
321211120101012100
412230322113322
5212240433410
615053524230
72533460610
oct654722772
9254511170
10112436730
115851641a
12317a3676
131a3a9513
1410d0b6b0
159d0e8c0
hex6b3a5fa

112436730 has 96 divisors (see below), whose sum is σ = 335746944. Its totient is φ = 25573248.

The previous prime is 112436707. The next prime is 112436743. The reversal of 112436730 is 37634211.

It is a junction number, because it is equal to n+sod(n) for n = 112436694 and 112436703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199429 + ... + 199991.

It is an arithmetic number, because the mean of its divisors is an integer number (3497364).

Almost surely, 2112436730 is an apocalyptic number.

112436730 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 112436730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167873472).

112436730 is an abundant number, since it is smaller than the sum of its proper divisors (223310214).

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

112436730 is a wasteful number, since it uses less digits than its factorization.

112436730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 112436730 is about 10603.6187219270. The cubic root of 112436730 is about 482.6541767937.

The spelling of 112436730 in words is "one hundred twelve million, four hundred thirty-six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 317 563 630 634 951 1126 1585 1689 1902 2219 2815 2853 3170 3378 3941 4438 4755 5067 5630 5706 6657 7882 8445 9510 10134 11095 11823 13314 14265 16890 19705 19971 22190 23646 25335 28530 33285 35469 39410 39942 50670 59115 66570 70938 99855 118230 177345 178471 199710 354690 356942 535413 892355 1070826 1249297 1606239 1784710 2498594 2677065 3212478 3747891 5354130 6246485 7495782 8031195 11243673 12492970 16062390 18739455 22487346 37478910 56218365 112436730