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85820920 = 2358924107
BaseRepresentation
bin1010001110110…
…00010111111000
312222111011011121
411013120113320
5133432232140
612303235024
72061315523
oct507302770
9188434147
1085820920
1144497589
12248a8a74
1314a1aa13
14b57dbba
15780364a
hex51d85f8

85820920 has 32 divisors (see below), whose sum is σ = 195274800. Its totient is φ = 33941248.

The previous prime is 85820909. The next prime is 85820923. The reversal of 85820920 is 2902858.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85820923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8494 + ... + 15613.

Almost surely, 285820920 is an apocalyptic number.

It is an amenable number.

85820920 is an abundant number, since it is smaller than the sum of its proper divisors (109453880).

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

85820920 is a wasteful number, since it uses less digits than its factorization.

85820920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24207 (or 24203 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 85820920 is about 9263.9581173492. The cubic root of 85820920 is about 441.0939034887.

The spelling of 85820920 in words is "eighty-five million, eight hundred twenty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 24107 48214 96428 120535 192856 241070 482140 964280 2145523 4291046 8582092 10727615 17164184 21455230 42910460 85820920