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60216064 = 28298111
BaseRepresentation
bin1110010110110…
…1001100000000
311012022021220121
43211231030000
5110403403224
65550350024
71330554016
oct345551400
9135267817
1060216064
1130a99247
12181bb314
13c62440c
147dd68b6
155446be4
hex396d300

60216064 has 36 divisors (see below), whose sum is σ = 124356960. Its totient is φ = 29066240.

The previous prime is 60216061. The next prime is 60216067. The reversal of 60216064 is 46061206.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (60216061) and next prime (60216067).

It is not an unprimeable number, because it can be changed into a prime (60216061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3369 + ... + 11479.

It is an arithmetic number, because the mean of its divisors is an integer number (3454360).

Almost surely, 260216064 is an apocalyptic number.

60216064 is a gapful number since it is divisible by the number (64) 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 60216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62178480).

60216064 is an abundant number, since it is smaller than the sum of its proper divisors (64140896).

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

60216064 is an equidigital number, since it uses as much as digits as its factorization.

60216064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8156 (or 8142 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 60216064 is about 7759.9010302967. The cubic root of 60216064 is about 391.9561244798.

The spelling of 60216064 in words is "sixty million, two hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 8111 16222 32444 64888 129776 235219 259552 470438 519104 940876 1038208 1881752 2076416 3763504 7527008 15054016 30108032 60216064