Search a number
-
+
60112884 = 2231317191193
BaseRepresentation
bin1110010101001…
…1111111110100
311012010001101010
43211103333310
5110342103014
65544232220
71326644136
oct345237764
9135101333
1060112884
1130a28777
121816b670
13c5b9470
147dab056
155426359
hex3953ff4

60112884 has 96 divisors (see below), whose sum is σ = 168497280. Its totient is φ = 16478208.

The previous prime is 60112883. The next prime is 60112889. The reversal of 60112884 is 48821106.

It is a super-2 number, since 2×601128842 = 7227117645594912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60112883) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 49792 + ... + 50984.

It is an arithmetic number, because the mean of its divisors is an integer number (1755180).

Almost surely, 260112884 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 60112884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84248640).

60112884 is an abundant number, since it is smaller than the sum of its proper divisors (108384396).

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

60112884 is a wasteful number, since it uses less digits than its factorization.

60112884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 60112884 is about 7753.2498992358. The cubic root of 60112884 is about 391.7321247067.

It can be divided in two parts, 60 and 112884, that multiplied together give a triangular number (6773040 = T3680).

The spelling of 60112884 in words is "sixty million, one hundred twelve thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 12 13 17 19 26 34 38 39 51 52 57 68 76 78 102 114 156 204 221 228 247 323 442 494 646 663 741 884 969 988 1193 1292 1326 1482 1938 2386 2652 2964 3579 3876 4199 4772 7158 8398 12597 14316 15509 16796 20281 22667 25194 31018 40562 45334 46527 50388 60843 62036 68001 81124 90668 93054 121686 136002 186108 243372 263653 272004 294671 385339 527306 589342 770678 790959 884013 1054612 1156017 1178684 1541356 1581918 1768026 2312034 3163836 3536052 4624068 5009407 10018814 15028221 20037628 30056442 60112884