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60275968 = 281731361
BaseRepresentation
bin1110010111101…
…1110100000000
311012102100002021
43211323310000
5110412312333
65551531224
71331223454
oct345736400
9135370067
1060275968
113102a255
1218229b14
13c64576c
148010664
15545982d
hex397bd00

60275968 has 36 divisors (see below), whose sum is σ = 121100868. Its totient is φ = 29941760.

The previous prime is 60275959. The next prime is 60275983. The reversal of 60275968 is 86957206.

60275968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 33732864 + 26543104 = 5808^2 + 5152^2 .

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 3 ways as a sum of consecutive naturals, for example, 43608 + ... + 44968.

It is an arithmetic number, because the mean of its divisors is an integer number (3363913).

Almost surely, 260275968 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 60275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60550434).

60275968 is an abundant number, since it is smaller than the sum of its proper divisors (60824900).

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

60275968 is a wasteful number, since it uses less digits than its factorization.

60275968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 60275968 is about 7763.7599138562. The cubic root of 60275968 is about 392.0860563530.

The spelling of 60275968 in words is "sixty million, two hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 692 1361 1384 2722 2768 5444 5536 10888 11072 21776 22144 43552 44288 87104 174208 235453 348416 470906 941812 1883624 3767248 7534496 15068992 30137984 60275968