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60987168 = 2535112331
BaseRepresentation
bin1110100010100…
…1011100100000
311020202110200000
43220221130200
5111103042133
610015100000
71340245104
oct350513440
9136673600
1060987168
1131475620
1218511600
13c8343a8
148157904
15554a413
hex3a29720

60987168 has 288 divisors, whose sum is σ = 211341312. Its totient is φ = 17107200.

The previous prime is 60987167. The next prime is 60987187. The reversal of 60987168 is 86178906.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (60987163) 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 47 ways as a sum of consecutive naturals, for example, 1967313 + ... + 1967343.

It is an arithmetic number, because the mean of its divisors is an integer number (733824).

Almost surely, 260987168 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 60987168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105670656).

60987168 is an abundant number, since it is smaller than the sum of its proper divisors (150354144).

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

60987168 is a wasteful number, since it uses less digits than its factorization.

60987168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 60987168 is about 7809.4281480784. The cubic root of 60987168 is about 393.6221135702.

The spelling of 60987168 in words is "sixty million, nine hundred eighty-seven thousand, one hundred sixty-eight".