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85745960 = 23517126097
BaseRepresentation
bin1010001110001…
…10000100101000
312222100100100022
411013012010220
5133422332320
612301500012
72060554136
oct507060450
9188310308
1085745960
1144446233
1224871608
13149c2871
14b560756
1577db325
hex51c6128

85745960 has 32 divisors (see below), whose sum is σ = 204278760. Its totient is φ = 32280576.

The previous prime is 85745951. The next prime is 85745981. The reversal of 85745960 is 6954758.

It can be written as a sum of positive squares in 4 ways, for example, as 74063236 + 11682724 = 8606^2 + 3418^2 .

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62369 + ... + 63728.

Almost surely, 285745960 is an apocalyptic number.

It is an amenable number.

85745960 is an abundant number, since it is smaller than the sum of its proper divisors (118532800).

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

85745960 is a wasteful number, since it uses less digits than its factorization.

85745960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126125 (or 126121 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 85745960 is about 9259.9114466608. The cubic root of 85745960 is about 440.9654420741.

The spelling of 85745960 in words is "eighty-five million, seven hundred forty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 126097 252194 504388 630485 1008776 1260970 2143649 2521940 4287298 5043880 8574596 10718245 17149192 21436490 42872980 85745960