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65213316 = 22337212323
BaseRepresentation
bin1111100011000…
…1001110000100
311112201011212000
43320301032010
5113143311231
610245425300
71421206200
oct370611604
9145634760
1065213316
11338a1803
1219a0b230
1310683b7c
148937b00
155ad26e6
hex3e31384

65213316 has 72 divisors (see below), whose sum is σ = 196691040. Its totient is φ = 18630864.

The previous prime is 65213297. The next prime is 65213341. The reversal of 65213316 is 61331256.

65213316 is a `hidden beast` number, since 652 + 1 + 3 + 3 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 65213316.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870 + ... + 11453.

It is an arithmetic number, because the mean of its divisors is an integer number (2731820).

Almost surely, 265213316 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 65213316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98345520).

65213316 is an abundant number, since it is smaller than the sum of its proper divisors (131477724).

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

65213316 is a wasteful number, since it uses less digits than its factorization.

65213316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12350 (or 12335 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 65213316 is about 8075.4762088684. The cubic root of 65213316 is about 402.5119341137.

The spelling of 65213316 in words is "sixty-five million, two hundred thirteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 12323 24646 36969 49292 73938 86261 110907 147876 172522 221814 258783 332721 345044 443628 517566 603827 665442 776349 1035132 1207654 1330884 1552698 1811481 2329047 2415308 3105396 3622962 4658094 5434443 7245924 9316188 10868886 16303329 21737772 32606658 65213316