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60076368 = 243211172397
BaseRepresentation
bin1110010100101…
…1000101010000
311012001012021200
43211023011100
5110334420433
65543351200
71326432522
oct345130520
9135035250
1060076368
1130a032a0
1218152500
13c5a5961
147d9ba12
15541a613
hex394b150

60076368 has 240 divisors, whose sum is σ = 204736896. Its totient is φ = 16220160.

The previous prime is 60076363. The next prime is 60076369. The reversal of 60076368 is 86367006.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60076361) 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, 619296 + ... + 619392.

Almost surely, 260076368 is an apocalyptic number.

60076368 is a gapful number since it is divisible by the number (68) 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 60076368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102368448).

60076368 is an abundant number, since it is smaller than the sum of its proper divisors (144660528).

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

60076368 is a wasteful number, since it uses less digits than its factorization.

60076368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 60076368 is about 7750.8946580379. The cubic root of 60076368 is about 391.6527884826.

The spelling of 60076368 in words is "sixty million, seventy-six thousand, three hundred sixty-eight".