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1045822830 = 2351317233677
BaseRepresentation
bin111110010101011…
…111110101101110
32200212220022012220
4332111133311232
54120212312310
6251435340210
734626230103
oct7625376556
92625808186
101045822830
11497381198
122522b1666
131388921a0
149cc78aaa
1561c33670
hex3e55fd6e

1045822830 has 128 divisors (see below), whose sum is σ = 2878581888. Its totient is φ = 240893952.

The previous prime is 1045822807. The next prime is 1045822859. The reversal of 1045822830 is 382285401.

1045822830 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1045822791 and 1045822800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1544452 + ... + 1545128.

It is an arithmetic number, because the mean of its divisors is an integer number (22488921).

Almost surely, 21045822830 is an apocalyptic number.

1045822830 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 1045822830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439290944).

1045822830 is an abundant number, since it is smaller than the sum of its proper divisors (1832759058).

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

1045822830 is a wasteful number, since it uses less digits than its factorization.

1045822830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 1045822830 is about 32339.1841269999. The cubic root of 1045822830 is about 1015.0467368289.

The spelling of 1045822830 in words is "one billion, forty-five million, eight hundred twenty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 233 255 390 442 466 510 663 677 699 1105 1165 1326 1354 1398 2031 2210 2330 3029 3315 3385 3495 3961 4062 6058 6630 6770 6990 7922 8801 9087 10155 11509 11883 15145 17602 18174 19805 20310 23018 23766 26403 30290 34527 39610 44005 45435 51493 52806 57545 59415 69054 88010 90870 102986 115090 118830 132015 149617 154479 157741 172635 257465 264030 299234 308958 315482 345270 448851 473223 514930 748085 772395 788705 897702 946446 1496170 1544790 1577410 2050633 2244255 2366115 2681597 4101266 4488510 4732230 5363194 6151899 8044791 10253165 12303798 13407985 16089582 20506330 26815970 30759495 34860761 40223955 61518990 69721522 80447910 104582283 174303805 209164566 348607610 522911415 1045822830