Search a number
-
+
2030241400 = 2352111019137
BaseRepresentation
bin111100100000011…
…0000011001111000
312020111020221121221
41321000300121320
513124220211100
6533243041424
7101211524065
oct17100603170
95214227557
102030241400
11952022460
12487b10274
13264805195
141538cbc6c
15bd38801a
hex79030678

2030241400 has 96 divisors (see below), whose sum is σ = 5200984080. Its totient is φ = 730880000.

The previous prime is 2030241359. The next prime is 2030241413. The reversal of 2030241400 is 41420302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217632 + ... + 226768.

Almost surely, 22030241400 is an apocalyptic number.

2030241400 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 2030241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600492040).

2030241400 is an abundant number, since it is smaller than the sum of its proper divisors (3170742680).

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

2030241400 is a wasteful number, since it uses less digits than its factorization.

2030241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9265 (or 9256 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2030241400 is about 45058.2001415946. The cubic root of 2030241400 is about 1266.2396051844.

Adding to 2030241400 its reverse (41420302), we get a palindrome (2071661702).

The spelling of 2030241400 in words is "two billion, thirty million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 8888 9137 10100 11110 18274 20200 22220 27775 36548 44440 45685 55550 73096 91370 100507 111100 182740 201014 222200 228425 365480 402028 456850 502535 804056 913700 922837 1005070 1827400 1845674 2010140 2512675 3691348 4020280 4614185 5025350 7382696 9228370 10050700 10151207 18456740 20101400 20302414 23070925 36913480 40604828 46141850 50756035 81209656 92283700 101512070 184567400 203024140 253780175 406048280 507560350 1015120700 2030241400