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853745680 = 24510671821
BaseRepresentation
bin110010111000110…
…010000000010000
32012111110202220101
4302320302000100
53222024330210
6220414422144
730104501314
oct6270620020
92174422811
10853745680
113a8a0a847
121b9b01954
13107b50178
1481559b44
154ee41a3a
hex32e32010

853745680 has 20 divisors (see below), whose sum is σ = 1984958892. Its totient is φ = 341498240.

The previous prime is 853745657. The next prime is 853745681. The reversal of 853745680 is 86547358.

It can be written as a sum of positive squares in 2 ways, for example, as 345513744 + 508231936 = 18588^2 + 22544^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×8537456802 = 1457763372237324800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 853745680.

It is not an unprimeable number, because it can be changed into a prime (853745681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5335831 + ... + 5335990.

Almost surely, 2853745680 is an apocalyptic number.

853745680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

853745680 is an abundant number, since it is smaller than the sum of its proper divisors (1131213212).

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

853745680 is a wasteful number, since it uses less digits than its factorization.

853745680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10671834 (or 10671828 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The square root of 853745680 is about 29218.9267427810. The cubic root of 853745680 is about 948.6576350432.

The spelling of 853745680 in words is "eight hundred fifty-three million, seven hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10671821 21343642 42687284 53359105 85374568 106718210 170749136 213436420 426872840 853745680