Search a number
-
+
2030151420 = 22325115771777
BaseRepresentation
bin111100100000001…
…1010011011111100
312020111002101012100
41321000122123330
513124204321140
6533241105100
7101211000543
oct17100323374
95214071170
102030151420
11951a708a0
12487a88190
132647a323b
141538a715a
15bd36b530
hex7901a6fc

2030151420 has 144 divisors (see below), whose sum is σ = 6733385568. Its totient is φ = 491028480.

The previous prime is 2030151413. The next prime is 2030151421. The reversal of 2030151420 is 241510302.

2030151420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2030151393 and 2030151402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030151421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1141572 + ... + 1143348.

It is an arithmetic number, because the mean of its divisors is an integer number (46759622).

Almost surely, 22030151420 is an apocalyptic number.

2030151420 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 2030151420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366692784).

2030151420 is an abundant number, since it is smaller than the sum of its proper divisors (4703234148).

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

2030151420 is a wasteful number, since it uses less digits than its factorization.

2030151420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2030151420 is about 45057.2016441323. The cubic root of 2030151420 is about 1266.2208983904.

Adding to 2030151420 its reverse (241510302), we get a palindrome (2271661722).

The spelling of 2030151420 in words is "two billion, thirty million, one hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 577 660 990 1154 1731 1777 1980 2308 2885 3462 3554 5193 5331 5770 6347 6924 7108 8655 8885 10386 10662 11540 12694 15993 17310 17770 19041 19547 20772 21324 25388 25965 26655 31735 31986 34620 35540 38082 39094 51930 53310 57123 58641 63470 63972 76164 78188 79965 95205 97735 103860 106620 114246 117282 126940 159930 175923 190410 195470 228492 234564 285615 293205 319860 351846 380820 390940 571230 586410 703692 879615 1025329 1142460 1172820 1759230 2050658 3075987 3518460 4101316 5126645 6151974 9227961 10253290 11278619 12303948 15379935 18455922 20506580 22557238 30759870 33835857 36911844 45114476 46139805 56393095 61519740 67671714 92279610 101507571 112786190 135343428 169179285 184559220 203015142 225572380 338358570 406030284 507537855 676717140 1015075710 2030151420