Search a number
-
+
60697728 = 2733713193
BaseRepresentation
bin1110011110001…
…0110010000000
311020012202122000
43213202302000
5111014311403
610004544000
71334631210
oct347426200
9136182560
1060697728
1131298113
12183b2000
13c762720
1480c0240
1554de7a3
hex39e2c80

60697728 has 256 divisors, whose sum is σ = 221625600. Its totient is φ = 15925248.

The previous prime is 60697717. The next prime is 60697729. The reversal of 60697728 is 82779606.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (60697729) 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 31 ways as a sum of consecutive naturals, for example, 314400 + ... + 314592.

It is an arithmetic number, because the mean of its divisors is an integer number (865725).

Almost surely, 260697728 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 60697728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110812800).

60697728 is an abundant number, since it is smaller than the sum of its proper divisors (160927872).

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

60697728 is a wasteful number, since it uses less digits than its factorization.

60697728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 60697728 is about 7790.8746620646. The cubic root of 60697728 is about 392.9984266588.

It can be divided in two parts, 60697 and 728, that added together give a triangular number (61425 = T350).

The spelling of 60697728 in words is "sixty million, six hundred ninety-seven thousand, seven hundred twenty-eight".