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85570000 = 245443199
BaseRepresentation
bin1010001100110…
…11000111010000
312222000101222021
411012123013100
5133401220000
612254021224
72056222135
oct506330720
9188011867
1085570000
114433600a
12247a7814
1314960749
14b51658c
1577a411a
hex519b1d0

85570000 has 100 divisors (see below), whose sum is σ = 213056800. Its totient is φ = 33264000.

The previous prime is 85569989. The next prime is 85570003. The reversal of 85570000 is 7558.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85570003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 429901 + ... + 430099.

It is an arithmetic number, because the mean of its divisors is an integer number (2130568).

Almost surely, 285570000 is an apocalyptic number.

85570000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106528400).

85570000 is an abundant number, since it is smaller than the sum of its proper divisors (127486800).

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

85570000 is a wasteful number, since it uses less digits than its factorization.

85570000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 85570000 is about 9250.4053965218. The cubic root of 85570000 is about 440.6635992207.

Adding to 85570000 its reverse (7558), we get a palindrome (85577558).

The spelling of 85570000 in words is "eighty-five million, five hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 199 200 215 250 344 398 400 430 500 625 688 796 860 995 1000 1075 1250 1592 1720 1990 2000 2150 2500 3184 3440 3980 4300 4975 5000 5375 7960 8557 8600 9950 10000 10750 15920 17114 17200 19900 21500 24875 26875 34228 39800 42785 43000 49750 53750 68456 79600 85570 86000 99500 107500 124375 136912 171140 199000 213925 215000 248750 342280 398000 427850 430000 497500 684560 855700 995000 1069625 1711400 1990000 2139250 3422800 4278500 5348125 8557000 10696250 17114000 21392500 42785000 85570000