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65241680 = 24571131031
BaseRepresentation
bin1111100011100…
…0001001010000
311112202121202112
43320320021100
5113200213210
610250204452
71421354660
oct370701120
9145677675
1065241680
1133911049
1219a23728
1310693a5a
1489441a0
155adad05
hex3e38250

65241680 has 80 divisors (see below), whose sum is σ = 175060224. Its totient is φ = 22149120.

The previous prime is 65241667. The next prime is 65241689. The reversal of 65241680 is 8614256.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65241689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62765 + ... + 63795.

Almost surely, 265241680 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 65241680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87530112).

65241680 is an abundant number, since it is smaller than the sum of its proper divisors (109818544).

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

65241680 is a wasteful number, since it uses less digits than its factorization.

65241680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 65241680 is about 8077.2321992128. The cubic root of 65241680 is about 402.5702820830.

The spelling of 65241680 in words is "sixty-five million, two hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 113 140 226 280 452 560 565 791 904 1031 1130 1582 1808 2062 2260 3164 3955 4124 4520 5155 6328 7217 7910 8248 9040 10310 12656 14434 15820 16496 20620 28868 31640 36085 41240 57736 63280 72170 82480 115472 116503 144340 233006 288680 466012 577360 582515 815521 932024 1165030 1631042 1864048 2330060 3262084 4077605 4660120 6524168 8155210 9320240 13048336 16310420 32620840 65241680