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65199240 = 23325612969
BaseRepresentation
bin1111100010110…
…1110010001000
311112200110112200
43320231302020
5113142333430
610245240200
71421120151
oct370556210
9145613480
1065199240
1133892177
1219a03060
131067a642
148932928
155acd460
hex3e2dc88

65199240 has 96 divisors (see below), whose sum is σ = 215443800. Its totient is φ = 17095680.

The previous prime is 65199209. The next prime is 65199247. The reversal of 65199240 is 4299156.

65199240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12404484 + 52794756 = 3522^2 + 7266^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 65199195 and 65199204.

It is not an unprimeable number, because it can be changed into a prime (65199247) 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, 20476 + ... + 23444.

Almost surely, 265199240 is an apocalyptic number.

65199240 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 65199240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107721900).

65199240 is an abundant number, since it is smaller than the sum of its proper divisors (150244560).

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

65199240 is a wasteful number, since it uses less digits than its factorization.

65199240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 65199240 is about 8074.6046342840. The cubic root of 65199240 is about 402.4829719016.

The spelling of 65199240 in words is "sixty-five million, one hundred ninety-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 2969 3660 4392 5490 5938 7320 8907 10980 11876 14845 17814 21960 23752 26721 29690 35628 44535 53442 59380 71256 89070 106884 118760 133605 178140 181109 213768 267210 356280 362218 534420 543327 724436 905545 1068840 1086654 1448872 1629981 1811090 2173308 2716635 3259962 3622180 4346616 5433270 6519924 7244360 8149905 10866540 13039848 16299810 21733080 32599620 65199240