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60513328 = 2419672971
BaseRepresentation
bin1110011011010…
…1110000110000
311012212101200101
43212311300300
5110442411303
610001002144
71333232461
oct346656060
9135771611
1060513328
1131181617
1218323354
13c6c9805
148072d68
1554a4d1d
hex39b5c30

60513328 has 40 divisors (see below), whose sum is σ = 125299520. Its totient is φ = 28226880.

The previous prime is 60513317. The next prime is 60513329. The reversal of 60513328 is 82331506.

60513328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 60513296 and 60513305.

It is not an unprimeable number, because it can be changed into a prime (60513329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18883 + ... + 21853.

It is an arithmetic number, because the mean of its divisors is an integer number (3132488).

Almost surely, 260513328 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 60513328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62649760).

60513328 is an abundant number, since it is smaller than the sum of its proper divisors (64786192).

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

60513328 is a wasteful number, since it uses less digits than its factorization.

60513328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 60513328 is about 7779.0313021610. The cubic root of 60513328 is about 392.6000458992.

The spelling of 60513328 in words is "sixty million, five hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 67 76 134 152 268 304 536 1072 1273 2546 2971 5092 5942 10184 11884 20368 23768 47536 56449 112898 199057 225796 398114 451592 796228 903184 1592456 3184912 3782083 7564166 15128332 30256664 60513328