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65130948 = 22321809193
BaseRepresentation
bin1111100001110…
…1000111000100
311112112222212100
43320131013010
5113133142243
610243552100
71420414101
oct370350704
9145488770
1065130948
1133845933
121998b630
131065552c
148915aa8
155ab80d3
hex3e1d1c4

65130948 has 18 divisors (see below), whose sum is σ = 164636654. Its totient is φ = 21710304.

The previous prime is 65130943. The next prime is 65130959. The reversal of 65130948 is 84903156.

65130948 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 only one way, i.e., 63872064 + 1258884 = 7992^2 + 1122^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1809193 = 65130948 / (6 + 5 + 1 + 3 + 0 + 9 + 4 + 8).

It is not an unprimeable number, because it can be changed into a prime (65130943) 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 5 ways as a sum of consecutive naturals, for example, 904561 + ... + 904632.

Almost surely, 265130948 is an apocalyptic number.

It is an amenable number.

65130948 is an abundant number, since it is smaller than the sum of its proper divisors (99505706).

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

65130948 is a wasteful number, since it uses less digits than its factorization.

65130948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809203 (or 1809198 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 65130948 is about 8070.3747124901. The cubic root of 65130948 is about 402.3423978221.

The spelling of 65130948 in words is "sixty-five million, one hundred thirty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1809193 3618386 5427579 7236772 10855158 16282737 21710316 32565474 65130948