Search a number
-
+
1041303024 = 243213752783
BaseRepresentation
bin111110000100010…
…000010111110000
32200120101200012200
4332010100113300
54113033144044
6251154423200
734542633606
oct7604202760
92616350180
101041303024
11494874413
12250891b00
1313796bb48
149c41d876
156163e369
hex3e1105f0

1041303024 has 60 divisors (see below), whose sum is σ = 2935529376. Its totient is φ = 344560896.

The previous prime is 1041303017. The next prime is 1041303047. The reversal of 1041303024 is 4203031401.

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

It is a junction number, because it is equal to n+sod(n) for n = 1041302988 and 1041303006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6664 + ... + 46119.

Almost surely, 21041303024 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 1041303024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467764688).

1041303024 is an abundant number, since it is smaller than the sum of its proper divisors (1894226352).

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

1041303024 is a wasteful number, since it uses less digits than its factorization.

1041303024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52934 (or 52925 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1041303024 is about 32269.2271986795. The cubic root of 1041303024 is about 1013.5823589649.

Adding to 1041303024 its reverse (4203031401), we get a palindrome (5244334425).

The spelling of 1041303024 in words is "one billion, forty-one million, three hundred three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 548 822 1096 1233 1644 2192 2466 3288 4932 6576 9864 19728 52783 105566 158349 211132 316698 422264 475047 633396 844528 950094 1266792 1900188 2533584 3800376 7231271 7600752 14462542 21693813 28925084 43387626 57850168 65081439 86775252 115700336 130162878 173550504 260325756 347101008 520651512 1041303024