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85741668 = 223210722259
BaseRepresentation
bin1010001110001…
…01000001100100
312222100010110100
411013011001210
5133422213133
612301424100
72060535465
oct507050144
9188303410
1085741668
1144442a91
122486b030
13149c091c
14b55cd6c
1577d9e13
hex51c5064

85741668 has 36 divisors (see below), whose sum is σ = 218771280. Its totient is φ = 28312176.

The previous prime is 85741657. The next prime is 85741681. The reversal of 85741668 is 86614758.

It is a happy number.

85741668 is a `hidden beast` number, since 8 + 574 + 16 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7278 + ... + 14981.

It is an arithmetic number, because the mean of its divisors is an integer number (6076980).

Almost surely, 285741668 is an apocalyptic number.

It is an amenable number.

85741668 is an abundant number, since it is smaller than the sum of its proper divisors (133029612).

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

85741668 is a wasteful number, since it uses less digits than its factorization.

85741668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22376 (or 22371 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 85741668 is about 9259.6796920844. The cubic root of 85741668 is about 440.9580844670.

The spelling of 85741668 in words is "eighty-five million, seven hundred forty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 22259 44518 66777 89036 133554 200331 267108 400662 801324 2381713 4763426 7145139 9526852 14290278 21435417 28580556 42870834 85741668