Search a number
-
+
60076728 = 2334831117
BaseRepresentation
bin1110010100101…
…1001010111000
311012001012210000
43211023022320
5110334423403
65543353000
71326433545
oct345131270
9135035700
1060076728
1130a03598
1218152760
13c5a5b7a
147d9bbcc
15541a7a3
hex394b2b8

60076728 has 80 divisors (see below), whose sum is σ = 170450280. Its totient is φ = 19766592.

The previous prime is 60076703. The next prime is 60076769. The reversal of 60076728 is 82767006.

60076728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 60076692 and 60076701.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 53226 + ... + 54342.

Almost surely, 260076728 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 60076728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85225140).

60076728 is an abundant number, since it is smaller than the sum of its proper divisors (110373552).

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

60076728 is a wasteful number, since it uses less digits than its factorization.

60076728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 60076728 is about 7750.9178811287. The cubic root of 60076728 is about 391.6535707909.

The spelling of 60076728 in words is "sixty million, seventy-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 216 249 324 332 498 648 664 747 996 1117 1494 1992 2234 2241 2988 3351 4468 4482 5976 6702 6723 8936 8964 10053 13404 13446 17928 20106 26808 26892 30159 40212 53784 60318 80424 90477 92711 120636 180954 185422 241272 278133 361908 370844 556266 723816 741688 834399 1112532 1668798 2225064 2503197 3337596 5006394 6675192 7509591 10012788 15019182 20025576 30038364 60076728