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1004130450 = 2325211231987
BaseRepresentation
bin111011110110011…
…101000010010010
32120222110010000200
4323312131002102
54024024133300
6243350000030
733611653011
oct7366350222
92528403020
101004130450
11475895084
12240346016
1313005523b
1497504a78
155d24a200
hex3bd9d092

1004130450 has 72 divisors (see below), whose sum is σ = 2701525008. Its totient is φ = 267395040.

The previous prime is 1004130443. The next prime is 1004130451. The reversal of 1004130450 is 540314001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1004130451) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 504357 + ... + 506343.

Almost surely, 21004130450 is an apocalyptic number.

1004130450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004130450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350762504).

1004130450 is an abundant number, since it is smaller than the sum of its proper divisors (1697394558).

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

1004130450 is a wasteful number, since it uses less digits than its factorization.

1004130450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1004130450 is about 31688.0174513964. The cubic root of 1004130450 is about 1001.3749253805.

Adding to 1004130450 its reverse (540314001), we get a palindrome (1544444451).

The spelling of 1004130450 in words is "one billion, four million, one hundred thirty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 1123 1987 2246 3369 3974 5615 5961 6738 9935 10107 11230 11922 16845 17883 19870 20214 28075 29805 33690 35766 49675 50535 56150 59610 84225 89415 99350 101070 149025 168450 178830 252675 298050 447075 505350 894150 2231401 4462802 6694203 11157005 13388406 20082609 22314010 33471015 40165218 55785025 66942030 100413045 111570050 167355075 200826090 334710150 502065225 1004130450