Search a number
-
+
85714080 = 2535178571
BaseRepresentation
bin1010001101111…
…10010010100000
312222021201121120
411012332102200
5133420322310
612301052240
72060362164
oct506762240
9188251546
1085714080
1144424291
1224857080
13149b11ba
14b552ca4
1577d1b70
hex51be4a0

85714080 has 48 divisors (see below), whose sum is σ = 270000864. Its totient is φ = 22856960.

The previous prime is 85714063. The next prime is 85714087. The reversal of 85714080 is 8041758.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (85714087) 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, 88806 + ... + 89765.

It is an arithmetic number, because the mean of its divisors is an integer number (5625018).

Almost surely, 285714080 is an apocalyptic number.

85714080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85714080 is an abundant number, since it is smaller than the sum of its proper divisors (184286784).

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

85714080 is a wasteful number, since it uses less digits than its factorization.

85714080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178589 (or 178581 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 85714080 is about 9258.1898878777. The cubic root of 85714080 is about 440.9107855792.

The spelling of 85714080 in words is "eighty-five million, seven hundred fourteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 178571 357142 535713 714284 892855 1071426 1428568 1785710 2142852 2678565 2857136 3571420 4285704 5357130 5714272 7142840 8571408 10714260 14285680 17142816 21428520 28571360 42857040 85714080