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65980944 = 24321726953
BaseRepresentation
bin1111101110110…
…0101000010000
311121011011211200
43323230220100
5113342342234
610314111200
71430554161
oct373545020
9147134750
1065980944
1134276507
121a11b500
13108923a3
148a97768
155bd4d99
hex3eeca10

65980944 has 60 divisors (see below), whose sum is σ = 195524316. Its totient is φ = 20699136.

The previous prime is 65980921. The next prime is 65980949. The reversal of 65980944 is 44908956.

It is a happy number.

65980944 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 48441600 + 17539344 = 6960^2 + 4188^2 .

It is a super-2 number, since 2×659809442 = 8706969942262272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 65980944.

It is not an unprimeable number, because it can be changed into a prime (65980949) 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 11 ways as a sum of consecutive naturals, for example, 11029 + ... + 15924.

Almost surely, 265980944 is an apocalyptic number.

It is an amenable number.

65980944 is an abundant number, since it is smaller than the sum of its proper divisors (129543372).

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

65980944 is a wasteful number, since it uses less digits than its factorization.

65980944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26984 (or 26975 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 65980944 is about 8122.8655042417. The cubic root of 65980944 is about 404.0851044447.

The spelling of 65980944 in words is "sixty-five million, nine hundred eighty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 26953 53906 80859 107812 161718 215624 242577 323436 431248 458201 485154 646872 916402 970308 1293744 1374603 1832804 1940616 2749206 3665608 3881232 4123809 5498412 7331216 8247618 10996824 16495236 21993648 32990472 65980944