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85467760 = 2457221803
BaseRepresentation
bin1010001100000…
…10001001110000
312221211012201121
411012002021300
5133334432020
612251512024
72055315100
oct506021160
9187735647
1085467760
1144276214
1224758614
1314926051
14b4cb200
157783baa
hex5182270

85467760 has 60 divisors (see below), whose sum is σ = 231166008. Its totient is φ = 29301888.

The previous prime is 85467749. The next prime is 85467763. The reversal of 85467760 is 6776458.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85467763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6982 + ... + 14821.

Almost surely, 285467760 is an apocalyptic number.

85467760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85467760 is an abundant number, since it is smaller than the sum of its proper divisors (145698248).

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

85467760 is a wasteful number, since it uses less digits than its factorization.

85467760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21830 (or 21817 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The square root of 85467760 is about 9244.8775005405. The cubic root of 85467760 is about 440.4880259990.

The spelling of 85467760 in words is "eighty-five million, four hundred sixty-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 21803 43606 87212 109015 152621 174424 218030 305242 348848 436060 610484 763105 872120 1068347 1220968 1526210 1744240 2136694 2441936 3052420 4273388 5341735 6104840 8546776 10683470 12209680 17093552 21366940 42733880 85467760