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65056140 = 22325734951
BaseRepresentation
bin1111100000101…
…0110110001100
311112102012020200
43320022312030
5113123244030
610242213500
71416653022
oct370126614
9145365220
1065056140
11337a4706
1219954290
131062a476
1488d6712
155aa0d60
hex3e0ad8c

65056140 has 72 divisors (see below), whose sum is σ = 200080608. Its totient is φ = 17107200.

The previous prime is 65056097. The next prime is 65056141. The reversal of 65056140 is 4165056.

It is a happy number.

65056140 is a `hidden beast` number, since 65 + 0 + 561 + 40 = 666.

65056140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (65056141) 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 23 ways as a sum of consecutive naturals, for example, 10665 + ... + 15615.

Almost surely, 265056140 is an apocalyptic number.

65056140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65056140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100040304).

65056140 is an abundant number, since it is smaller than the sum of its proper divisors (135024468).

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

65056140 is a wasteful number, since it uses less digits than its factorization.

65056140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 65056140 is about 8065.7386518533. The cubic root of 65056140 is about 402.1882982128.

The spelling of 65056140 in words is "sixty-five million, fifty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 4951 6570 9902 13140 14853 19804 24755 29706 44559 49510 59412 74265 89118 99020 148530 178236 222795 297060 361423 445590 722846 891180 1084269 1445692 1807115 2168538 3252807 3614230 4337076 5421345 6505614 7228460 10842690 13011228 16264035 21685380 32528070 65056140