[go: up one dir, main page]

Search a number
-
+
2089008 = 243289163
BaseRepresentation
bin111111110000000110000
310221010120200
413332000300
51013322013
6112435200
723520255
oct7760060
93833520
102089008
1111a7559
12848b00
13581acc
143c542c
152b3e73
hex1fe030

2089008 has 60 divisors (see below), whose sum is σ = 5948280. Its totient is φ = 684288.

The previous prime is 2089001. The next prime is 2089037. The reversal of 2089008 is 8009802.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (2089001) 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, 12735 + ... + 12897.

It is an arithmetic number, because the mean of its divisors is an integer number (99138).

22089008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2089008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974140).

2089008 is an abundant number, since it is smaller than the sum of its proper divisors (3859272).

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

2089008 is a wasteful number, since it uses less digits than its factorization.

2089008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2089008 is about 1445.3400983852. The cubic root of 2089008 is about 127.8340949537.

It can be divided in two parts, 208 and 9008, that added together give a square (9216 = 962).

The spelling of 2089008 in words is "two million, eighty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 163 178 267 326 356 489 534 652 712 801 978 1068 1304 1424 1467 1602 1956 2136 2608 2934 3204 3912 4272 5868 6408 7824 11736 12816 14507 23472 29014 43521 58028 87042 116056 130563 174084 232112 261126 348168 522252 696336 1044504 2089008