Search a number
-
+
1643103420 = 2235721118541
BaseRepresentation
bin110000111101111…
…1100010010111100
311020111210022011020
41201323330102330
511331113302140
6431013224140
755501101660
oct14173742274
94214708136
101643103420
11773541a12
1239a332050
1320254805a
141183148a0
15993b56d0
hex61efc4bc

1643103420 has 96 divisors (see below), whose sum is σ = 5283134976. Its totient is φ = 373766400.

The previous prime is 1643103359. The next prime is 1643103433. The reversal of 1643103420 is 243013461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79350 + ... + 97890.

It is an arithmetic number, because the mean of its divisors is an integer number (55032656).

Almost surely, 21643103420 is an apocalyptic number.

1643103420 is a gapful number since it is divisible by the number (10) 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 1643103420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641567488).

1643103420 is an abundant number, since it is smaller than the sum of its proper divisors (3640031556).

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

1643103420 is a wasteful number, since it uses less digits than its factorization.

1643103420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18771 (or 18769 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1643103420 is about 40535.2121000988. The cubic root of 1643103420 is about 1180.0170973296.

Adding to 1643103420 its reverse (243013461), we get a palindrome (1886116881).

The spelling of 1643103420 in words is "one billion, six hundred forty-three million, one hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 211 420 422 633 844 1055 1266 1477 2110 2532 2954 3165 4220 4431 5908 6330 7385 8862 12660 14770 17724 18541 22155 29540 37082 44310 55623 74164 88620 92705 111246 129787 185410 222492 259574 278115 370820 389361 519148 556230 648935 778722 1112460 1297870 1557444 1946805 2595740 3893610 3912151 7787220 7824302 11736453 15648604 19560755 23472906 27385057 39121510 46945812 54770114 58682265 78243020 82155171 109540228 117364530 136925285 164310342 234729060 273850570 328620684 410775855 547701140 821551710 1643103420