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70116000 = 253535843
BaseRepresentation
bin1000010110111…
…10001010100000
311212221021001220
410023132022200
5120422203000
610542455040
71510655553
oct413361240
9155837056
1070116000
1136640209
121b594480
13116ac576
14945269a
1562501a0
hex42de2a0

70116000 has 96 divisors (see below), whose sum is σ = 229739328. Its totient is φ = 18694400.

The previous prime is 70115977. The next prime is 70116001. The reversal of 70116000 is 61107.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (70116001) 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, 9079 + ... + 14921.

It is an arithmetic number, because the mean of its divisors is an integer number (2393118).

Almost surely, 270116000 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 70116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114869664).

70116000 is an abundant number, since it is smaller than the sum of its proper divisors (159623328).

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

70116000 is a wasteful number, since it uses less digits than its factorization.

70116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 70116000 is about 8373.5297216885. The cubic root of 70116000 is about 412.3560562958.

Adding to 70116000 its reverse (61107), we get a palindrome (70177107).

The spelling of 70116000 in words is "seventy million, one hundred sixteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 5843 6000 11686 12000 17529 23372 29215 35058 46744 58430 70116 87645 93488 116860 140232 146075 175290 186976 233720 280464 292150 350580 438225 467440 560928 584300 701160 730375 876450 934880 1168600 1402320 1460750 1752900 2191125 2337200 2804640 2921500 3505800 4382250 4674400 5843000 7011600 8764500 11686000 14023200 17529000 23372000 35058000 70116000