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761600112 = 2437131131543
BaseRepresentation
bin101101011001010…
…001100001110000
31222002002021221120
4231121101201300
53024432200422
6203323422240
724605331330
oct5531214160
91862067846
10761600112
113609a3489
12193084980
13c1a29770
14732110c0
1546cde45c
hex2d651870

761600112 has 160 divisors (see below), whose sum is σ = 2444510208. Its totient is φ = 198955008.

The previous prime is 761600087. The next prime is 761600131. The reversal of 761600112 is 211006167.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 492813 + ... + 494355.

Almost surely, 2761600112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761600112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222255104).

761600112 is an abundant number, since it is smaller than the sum of its proper divisors (1682910096).

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

761600112 is a wasteful number, since it uses less digits than its factorization.

761600112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 761600112 is about 27597.1033262551. The cubic root of 761600112 is about 913.2205303467.

Adding to 761600112 its reverse (211006167), we get a palindrome (972606279).

The spelling of 761600112 in words is "seven hundred sixty-one million, six hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 113 156 168 182 208 226 273 312 336 339 364 452 546 624 678 728 791 904 1092 1356 1456 1469 1543 1582 1808 2184 2373 2712 2938 3086 3164 4368 4407 4629 4746 5424 5876 6172 6328 8814 9258 9492 10283 10801 11752 12344 12656 17628 18516 18984 20059 20566 21602 23504 24688 30849 32403 35256 37032 37968 40118 41132 43204 60177 61698 64806 70512 74064 80236 82264 86408 120354 123396 129612 140413 160472 164528 172816 174359 240708 246792 259224 280826 320944 348718 421239 481416 493584 518448 523077 561652 697436 842478 962832 1046154 1123304 1220513 1394872 1684956 2092308 2246608 2266667 2441026 2789744 3369912 3661539 4184616 4533334 4882052 6739824 6800001 7323078 8369232 9066668 9764104 13600002 14646156 15866669 18133336 19528208 27200004 29292312 31733338 36266672 47600007 54400008 58584624 63466676 95200014 108800016 126933352 190400028 253866704 380800056 761600112