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65085360 = 24351391951
BaseRepresentation
bin1111100001000…
…1111110110000
311112110200022220
43320101332300
5113130212420
610243001040
71420134144
oct370217660
9145420286
1065085360
113381465a
1219969180
131063a862
148903224
155aa9840
hex3e11fb0

65085360 has 80 divisors (see below), whose sum is σ = 203320320. Its totient is φ = 17222400.

The previous prime is 65085329. The next prime is 65085373. The reversal of 65085360 is 6358056.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×650853602 = 8472208172659200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32385 + ... + 34335.

It is an arithmetic number, because the mean of its divisors is an integer number (2541504).

Almost surely, 265085360 is an apocalyptic number.

65085360 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 65085360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101660160).

65085360 is an abundant number, since it is smaller than the sum of its proper divisors (138234960).

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

65085360 is a wasteful number, since it uses less digits than its factorization.

65085360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 65085360 is about 8067.5498139150. The cubic root of 65085360 is about 402.2485035628.

The spelling of 65085360 in words is "sixty-five million, eighty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 1951 2085 2224 2780 3336 3902 4170 5560 5853 6672 7804 8340 9755 11120 11706 15608 16680 19510 23412 29265 31216 33360 39020 46824 58530 78040 93648 117060 156080 234120 271189 468240 542378 813567 1084756 1355945 1627134 2169512 2711890 3254268 4067835 4339024 5423780 6508536 8135670 10847560 13017072 16271340 21695120 32542680 65085360