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60948 = 22321693
BaseRepresentation
bin1110111000010100
310002121100
432320110
53422243
61150100
7342456
oct167024
9102540
1060948
1141878
122b330
1321984
14182d6
15130d3
hexee14

60948 has 18 divisors (see below), whose sum is σ = 154154. Its totient is φ = 20304.

The previous prime is 60943. The next prime is 60953. The reversal of 60948 is 84906.

60948 is nontrivially palindromic in base 5.

60948 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (60943) and next prime (60953).

It can be written as a sum of positive squares in only one way, i.e., 49284 + 11664 = 222^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 60948.

It is not an unprimeable number, because it can be changed into a prime (60943) by changing a digit.

60948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 811 + ... + 882.

260948 is an apocalyptic number.

It is an amenable number.

60948 is an abundant number, since it is smaller than the sum of its proper divisors (93206).

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

60948 is a wasteful number, since it uses less digits than its factorization.

60948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 60948 is about 246.8764873373. The cubic root of 60948 is about 39.3537829760.

The spelling of 60948 in words is "sixty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1693 3386 5079 6772 10158 15237 20316 30474 60948