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76136112 = 2434134519
BaseRepresentation
bin1001000100110…
…11111010110000
312022021010010000
410202123322300
5123442323422
611315510000
71613101113
oct442337260
9168233100
1076136112
1139a82208
12215b8300
1312a09770
14a17c57a
156a3dcac
hex489beb0

76136112 has 100 divisors (see below), whose sum is σ = 237363280. Its totient is φ = 23421312.

The previous prime is 76136111. The next prime is 76136117. The reversal of 76136112 is 21163167.

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

It is not an unprimeable number, because it can be changed into a prime (76136111) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 14589 + ... + 19107.

Almost surely, 276136112 is an apocalyptic number.

76136112 is a gapful number since it is divisible by the number (72) 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 76136112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118681640).

76136112 is an abundant number, since it is smaller than the sum of its proper divisors (161227168).

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

76136112 is a wasteful number, since it uses less digits than its factorization.

76136112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552 (or 4537 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 76136112 is about 8725.6009535160. The cubic root of 76136112 is about 423.8350788525.

Adding to 76136112 its reverse (21163167), we get a palindrome (97299279).

The spelling of 76136112 in words is "seventy-six million, one hundred thirty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 4519 5616 8424 9038 13557 16848 18076 27114 36152 40671 54228 58747 72304 81342 108456 117494 122013 162684 176241 216912 234988 244026 325368 352482 366039 469976 488052 528723 650736 704964 732078 939952 976104 1057446 1409928 1464156 1586169 1952208 2114892 2819856 2928312 3172338 4229784 4758507 5856624 6344676 8459568 9517014 12689352 19034028 25378704 38068056 76136112