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2041956420 = 2235721634261
BaseRepresentation
bin111100110110101…
…1100100001000100
312021022022010121120
41321231130201010
513140220101140
6534342113540
7101413225500
oct17155344104
95238263546
102041956420
119586a4099
1248ba1b8b0
1326707754a
1415529b300
15be3ee1d0
hex79b5c844

2041956420 has 144 divisors (see below), whose sum is σ = 6693317568. Its totient is φ = 463760640.

The previous prime is 2041956373. The next prime is 2041956463. The reversal of 2041956420 is 246591402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477090 + ... + 481350.

It is an arithmetic number, because the mean of its divisors is an integer number (46481372).

Almost surely, 22041956420 is an apocalyptic number.

2041956420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041956420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346658784).

2041956420 is an abundant number, since it is smaller than the sum of its proper divisors (4651361148).

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

2041956420 is a wasteful number, since it uses less digits than its factorization.

2041956420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2041956420 is about 45188.0119058141. The cubic root of 2041956420 is about 1268.6704460622.

The spelling of 2041956420 in words is "two billion, forty-one million, nine hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 163 196 210 245 294 326 420 489 490 588 652 735 815 978 980 1141 1470 1630 1956 2282 2445 2940 3260 3423 4261 4564 4890 5705 6846 7987 8522 9780 11410 12783 13692 15974 17044 17115 21305 22820 23961 25566 29827 31948 34230 39935 42610 47922 51132 59654 63915 68460 79870 85220 89481 95844 119308 119805 127830 149135 159740 178962 208789 239610 255660 298270 357924 417578 447405 479220 596540 626367 694543 835156 894810 1043945 1252734 1389086 1789620 2083629 2087890 2505468 2778172 3131835 3472715 4167258 4175780 4861801 6263670 6945430 8334516 9723602 10418145 12527340 13890860 14585403 19447204 20836290 24309005 29170806 34032607 41672580 48618010 58341612 68065214 72927015 97236020 102097821 136130428 145854030 170163035 204195642 291708060 340326070 408391284 510489105 680652140 1020978210 2041956420