Search a number
-
+
1028424150 = 2325213213523
BaseRepresentation
bin111101010011001…
…000000111010110
32122200011100201100
4331103020013112
54101234033100
6250014410530
734325314065
oct7523100726
92580140640
101028424150
11488578316
12248500a46
131350acb00
149a82a1dc
1560448400
hex3d4c81d6

1028424150 has 108 divisors (see below), whose sum is σ = 2992144428. Its totient is φ = 253131840.

The previous prime is 1028424143. The next prime is 1028424169. The reversal of 1028424150 is 514248201.

1028424150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 69289 + ... + 82811.

It is an arithmetic number, because the mean of its divisors is an integer number (27705041).

Almost surely, 21028424150 is an apocalyptic number.

1028424150 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 1028424150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496072214).

1028424150 is an abundant number, since it is smaller than the sum of its proper divisors (1963720278).

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

1028424150 is a wasteful number, since it uses less digits than its factorization.

1028424150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13567 (or 13546 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1028424150 is about 32069.0528391470. The cubic root of 1028424150 is about 1009.3863376758.

The spelling of 1028424150 in words is "one billion, twenty-eight million, four hundred twenty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 169 195 225 234 325 338 390 450 507 585 650 845 975 1014 1170 1521 1690 1950 2535 2925 3042 4225 5070 5850 7605 8450 12675 13523 15210 25350 27046 38025 40569 67615 76050 81138 121707 135230 175799 202845 243414 338075 351598 405690 527397 608535 676150 878995 1014225 1054794 1217070 1582191 1757990 2028450 2285387 2636985 3042675 3164382 4394975 4570774 5273970 6085350 6856161 7910955 8789950 11426935 13184925 13712322 15821910 20568483 22853870 26369850 34280805 39554775 41136966 57134675 68561610 79109550 102842415 114269350 171404025 205684830 342808050 514212075 1028424150