Search a number
-
+
60755268 = 22376171167
BaseRepresentation
bin1110011111000…
…0110101000100
311020022200120010
43213300311010
5111023132033
610010110220
71335261030
oct347606504
9136280503
1060755268
1131327372
121841b370
13c782982
1480d71c0
155501863
hex39f0d44

60755268 has 96 divisors (see below), whose sum is σ = 167989248. Its totient is φ = 16732800.

The previous prime is 60755267. The next prime is 60755281. The reversal of 60755268 is 86255706.

It is a happy number.

60755268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (60755267) 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 31 ways as a sum of consecutive naturals, for example, 363721 + ... + 363887.

It is an arithmetic number, because the mean of its divisors is an integer number (1749888).

Almost surely, 260755268 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 60755268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83994624).

60755268 is an abundant number, since it is smaller than the sum of its proper divisors (107233980).

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

60755268 is a wasteful number, since it uses less digits than its factorization.

60755268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 60755268 is about 7794.5665690916. The cubic root of 60755268 is about 393.1225718199.

The spelling of 60755268 in words is "sixty million, seven hundred fifty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 71 84 122 142 167 183 213 244 284 334 366 426 427 497 501 668 732 852 854 994 1002 1169 1281 1491 1708 1988 2004 2338 2562 2982 3507 4331 4676 5124 5964 7014 8662 10187 11857 12993 14028 17324 20374 23714 25986 30317 30561 35571 40748 47428 51972 60634 61122 71142 71309 82999 90951 121268 122244 142284 142618 165998 181902 213927 248997 285236 331996 363804 427854 497994 723277 855708 995988 1446554 2169831 2893108 4339662 5062939 8679324 10125878 15188817 20251756 30377634 60755268