Search a number
-
+
1089234500 = 225310121569
BaseRepresentation
bin100000011101100…
…0110011001000100
32210220120211211112
41000323012121010
54212321001000
6300030024152
735664224534
oct10073063104
92726524745
101089234500
11509932002
12264948058
13144881873
14a49394c4
156595b235
hex40ec6644

1089234500 has 48 divisors (see below), whose sum is σ = 2402552880. Its totient is φ = 431360000.

The previous prime is 1089234467. The next prime is 1089234521. The reversal of 1089234500 is 54329801.

1089234500 = T4112 + T4113 + ... + T4236.

It can be written as a sum of positive squares in 8 ways, for example, as 371101696 + 718132804 = 19264^2 + 26798^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39716 + ... + 61284.

It is an arithmetic number, because the mean of its divisors is an integer number (50053185).

Almost surely, 21089234500 is an apocalyptic number.

1089234500 is a gapful number since it is divisible by the number (10) 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 1089234500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201276440).

1089234500 is an abundant number, since it is smaller than the sum of its proper divisors (1313318380).

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

1089234500 is a wasteful number, since it uses less digits than its factorization.

1089234500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21689 (or 21677 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 1089234500 is about 33003.5528390505. The cubic root of 1089234500 is about 1028.9014901023.

The spelling of 1089234500 in words is "one billion, eighty-nine million, two hundred thirty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 125 202 250 404 500 505 1010 2020 2525 5050 10100 12625 21569 25250 43138 50500 86276 107845 215690 431380 539225 1078450 2156900 2178469 2696125 4356938 5392250 8713876 10784500 10892345 21784690 43569380 54461725 108923450 217846900 272308625 544617250 1089234500