Search a number
-
+
9089019040 = 25575372
BaseRepresentation
bin10000111011011111…
…10110110010100000
3212110102121000011211
420131233312302200
5122103242102130
64101521115504
7441143246533
oct103557666240
925412530154
109089019040
113944572592
121917a88b94
13b1b04a89a
14623188a1a
15382e12a2a
hex21dbf6ca0

9089019040 has 36 divisors (see below), whose sum is σ = 21475656846. Its totient is φ = 3635125248.

The previous prime is 9089019013. The next prime is 9089019047. The reversal of 9089019040 is 409109809.

It can be written as a sum of positive squares in 3 ways, for example, as 6739096464 + 2349922576 = 82092^2 + 48476^2 .

It is a super-2 number, since 2×90890190402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 9089018984 and 9089019002.

It is not an unprimeable number, because it can be changed into a prime (9089019047) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1202152 + ... + 1209688.

Almost surely, 29089019040 is an apocalyptic number.

It is an amenable number.

9089019040 is an abundant number, since it is smaller than the sum of its proper divisors (12386637806).

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

9089019040 is an frugal number, since it uses more digits than its factorization.

9089019040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15089 (or 7544 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 9089019040 is about 95336.3468987563. The cubic root of 9089019040 is about 2086.9193749658.

Multiplying 9089019040 by its sum of digits (40), we get a square (363560761600 = 6029602).

9089019040 divided by its sum of digits (40) gives a square (227225476 = 150742).

The spelling of 9089019040 in words is "nine billion, eighty-nine million, nineteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 7537 15074 30148 37685 60296 75370 120592 150740 241184 301480 602960 1205920 56806369 113612738 227225476 284031845 454450952 568063690 908901904 1136127380 1817803808 2272254760 4544509520 9089019040