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65085440 = 21357227
BaseRepresentation
bin1111100001001…
…0000000000000
311112110200102212
43320102000000
5113130213230
610243001252
71420134320
oct370220000
9145420385
1065085440
1133814722
1219969228
131063a8c4
148903280
155aa9895
hex3e12000

65085440 has 112 divisors (see below), whose sum is σ = 179295552. Its totient is φ = 22216704.

The previous prime is 65085439. The next prime is 65085443. The reversal of 65085440 is 4458056.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×650854402 = 8472228999987200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 65085397 and 65085406.

It is not an unprimeable number, because it can be changed into a prime (65085443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286607 + ... + 286833.

Almost surely, 265085440 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 65085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89647776).

65085440 is an abundant number, since it is smaller than the sum of its proper divisors (114210112).

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

65085440 is an equidigital number, since it uses as much as digits as its factorization.

65085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 65085440 is about 8067.5547720483. The cubic root of 65085440 is about 402.2486683714.

The spelling of 65085440 in words is "sixty-five million, eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 227 256 280 320 448 454 512 560 640 896 908 1024 1120 1135 1280 1589 1792 1816 2048 2240 2270 2560 3178 3584 3632 4096 4480 4540 5120 6356 7168 7264 7945 8192 8960 9080 10240 12712 14336 14528 15890 17920 18160 20480 25424 28672 29056 31780 35840 36320 40960 50848 57344 58112 63560 71680 72640 101696 116224 127120 143360 145280 203392 232448 254240 286720 290560 406784 464896 508480 581120 813568 929792 1016960 1162240 1627136 1859584 2033920 2324480 3254272 4067840 4648960 6508544 8135680 9297920 13017088 16271360 32542720 65085440