Search a number
-
+
97165000 = 235419433
BaseRepresentation
bin1011100101010…
…01111011001000
320202211111022201
411302221323020
5144333240000
613350325544
72256613612
oct562517310
9222744281
1097165000
114a935559
12286598b4
13171902aa
14cc93db2
1587e496a
hex5ca9ec8

97165000 has 40 divisors (see below), whose sum is σ = 227669310. Its totient is φ = 38864000.

The previous prime is 97164973. The next prime is 97165001. The reversal of 97165000 is 56179.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1790244 + 95374756 = 1338^2 + 9766^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 97165000.

It is not an unprimeable number, because it can be changed into a prime (97165001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4717 + ... + 14716.

Almost surely, 297165000 is an apocalyptic number.

It is an amenable number.

97165000 is an abundant number, since it is smaller than the sum of its proper divisors (130504310).

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

97165000 is a wasteful number, since it uses less digits than its factorization.

97165000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19459 (or 19440 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 97165000 is about 9857.2308484685. The cubic root of 97165000 is about 459.7304659176.

The spelling of 97165000 in words is "ninety-seven million, one hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 19433 38866 77732 97165 155464 194330 388660 485825 777320 971650 1943300 2429125 3886600 4858250 9716500 12145625 19433000 24291250 48582500 97165000