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95707680 = 2535434637
BaseRepresentation
bin1011011010001…
…10001000100000
320200002110020220
411231012020200
5144000121210
613255203040
72241334065
oct555061040
9220073226
1095707680
114a02a662
1228076480
1316a9cb83
14c9d4c6c
158607c70
hex5b46220

95707680 has 96 divisors (see below), whose sum is σ = 308556864. Its totient is φ = 24923136.

The previous prime is 95707679. The next prime is 95707681. The reversal of 95707680 is 8670759.

It is an interprime number because it is at equal distance from previous prime (95707679) and next prime (95707681).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (95707681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18322 + ... + 22958.

It is an arithmetic number, because the mean of its divisors is an integer number (3214134).

Almost surely, 295707680 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 95707680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154278432).

95707680 is an abundant number, since it is smaller than the sum of its proper divisors (212849184).

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

95707680 is a wasteful number, since it uses less digits than its factorization.

95707680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4698 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 95707680 is about 9783.0302054118. The cubic root of 95707680 is about 457.4204705139.

The spelling of 95707680 in words is "ninety-five million, seven hundred seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 4637 5160 6880 9274 10320 13911 18548 20640 23185 27822 37096 46370 55644 69555 74192 92740 111288 139110 148384 185480 199391 222576 278220 370960 398782 445152 556440 598173 741920 797564 996955 1112880 1196346 1595128 1993910 2225760 2392692 2990865 3190256 3987820 4785384 5981730 6380512 7975640 9570768 11963460 15951280 19141536 23926920 31902560 47853840 95707680