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65214240 = 25357131493
BaseRepresentation
bin1111100011000…
…1011100100000
311112201020010020
43320301130200
5113143323430
610245433440
71421211660
oct370613440
9145636106
1065214240
11338a2473
1219a0b880
1310684410
1489381a0
155ad2b10
hex3e31720

65214240 has 192 divisors, whose sum is σ = 252999936. Its totient is φ = 13750272.

The previous prime is 65214217. The next prime is 65214241. The reversal of 65214240 is 4241256.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 65214240.

It is not an unprimeable number, because it can be changed into a prime (65214241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42934 + ... + 44426.

It is an arithmetic number, because the mean of its divisors is an integer number (1317708).

Almost surely, 265214240 is an apocalyptic number.

65214240 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 65214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126499968).

65214240 is an abundant number, since it is smaller than the sum of its proper divisors (187785696).

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

65214240 is a wasteful number, since it uses less digits than its factorization.

65214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 65214240 is about 8075.5334189142. The cubic root of 65214240 is about 402.5138351532.

Adding to 65214240 its reverse (4241256), we get a palindrome (69455496).

The spelling of 65214240 in words is "sixty-five million, two hundred fourteen thousand, two hundred forty".