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1028403636 = 2231361671613
BaseRepresentation
bin111101010011000…
…011000110110100
32122200010022120120
4331103003012310
54101232404021
6250014131540
734325200221
oct7523030664
92580108516
101028403636
11488563967
122484b0bb0
131350a3680
149a822948
15604422c6
hex3d4c31b4

1028403636 has 96 divisors (see below), whose sum is σ = 2667412608. Its totient is φ = 306408960.

The previous prime is 1028403619. The next prime is 1028403637. The reversal of 1028403636 is 6363048201.

1028403636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10284036362 = 2115228077076040992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1028403597 and 1028403606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028403637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636766 + ... + 638378.

It is an arithmetic number, because the mean of its divisors is an integer number (27785548).

Almost surely, 21028403636 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 1028403636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333706304).

1028403636 is an abundant number, since it is smaller than the sum of its proper divisors (1639008972).

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

1028403636 is a wasteful number, since it uses less digits than its factorization.

1028403636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1028403636 is about 32068.7329964874. The cubic root of 1028403636 is about 1009.3796262138.

The spelling of 1028403636 in words is "one billion, twenty-eight million, four hundred three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 67 78 122 134 156 183 201 244 268 366 402 732 793 804 871 1586 1613 1742 2379 2613 3172 3226 3484 4087 4758 4839 5226 6452 8174 9516 9678 10452 12261 16348 19356 20969 24522 41938 49044 53131 62907 83876 98393 106262 108071 125814 159393 196786 212524 216142 251628 295179 318786 324213 393572 432284 590358 637572 648426 1180716 1279109 1296852 1404923 2558218 2809846 3837327 4214769 5116436 5619692 6592331 7674654 8429538 13184662 15349308 16859076 19776993 26369324 39553986 79107972 85700303 171400606 257100909 342801212 514201818 1028403636