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1089004 = 227192389
BaseRepresentation
bin100001001110111101100
32001022211111
410021313230
5234322004
635201404
712153640
oct4116754
92038744
101089004
11684204
12446264
132c18a7
14204c20
15167a04
hex109dec

1089004 has 48 divisors (see below), whose sum is σ = 2419200. Its totient is φ = 418176.

The previous prime is 1088993. The next prime is 1089017. The reversal of 1089004 is 4009801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12192 + ... + 12280.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

21089004 is an apocalyptic number.

1089004 is a gapful number since it is divisible by the number (14) 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 1089004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209600).

1089004 is an abundant number, since it is smaller than the sum of its proper divisors (1330196).

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

1089004 is a wasteful number, since it uses less digits than its factorization.

1089004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1089004 is about 1043.5535443857. The cubic root of 1089004 is about 102.8828907469.

It can be divided in two parts, 108900 and 4, that multiplied together give a square (435600 = 6602).

The spelling of 1089004 in words is "one million, eighty-nine thousand, four".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 89 92 133 161 178 266 322 356 437 532 623 644 874 1246 1691 1748 2047 2492 3059 3382 4094 6118 6764 8188 11837 12236 14329 23674 28658 38893 47348 57316 77786 155572 272251 544502 1089004