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2030424240 = 2435131738281
BaseRepresentation
bin111100100000101…
…1101000010110000
312020111121020102210
41321001131002300
513124242033430
6533251012120
7101213215125
oct17101350260
95214536383
102030424240
11952137869
12487b9a040
1326486a480
1415393874c
15bd3c22b0
hex7905d0b0

2030424240 has 160 divisors (see below), whose sum is σ = 7177415616. Its totient is φ = 470384640.

The previous prime is 2030424169. The next prime is 2030424259. The reversal of 2030424240 is 424240302.

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 31 ways as a sum of consecutive naturals, for example, 33900 + ... + 72180.

Almost surely, 22030424240 is an apocalyptic number.

2030424240 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 2030424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588707808).

2030424240 is an abundant number, since it is smaller than the sum of its proper divisors (5146991376).

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

2030424240 is a wasteful number, since it uses less digits than its factorization.

2030424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38327 (or 38321 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2030424240 is about 45060.2290273807. The cubic root of 2030424240 is about 1266.2776158202.

Adding to 2030424240 its reverse (424240302), we get a palindrome (2454664542).

It can be divided in two parts, 20304 and 24240, that added together give a palindrome (44544).

The spelling of 2030424240 in words is "two billion, thirty million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 510 520 624 663 680 780 816 884 1020 1040 1105 1326 1360 1560 1768 2040 2210 2652 3120 3315 3536 4080 4420 5304 6630 8840 10608 13260 17680 26520 38281 53040 76562 114843 153124 191405 229686 306248 382810 459372 497653 574215 612496 650777 765620 918744 995306 1148430 1301554 1492959 1531240 1837488 1952331 1990612 2296860 2488265 2603108 2985918 3062480 3253885 3904662 3981224 4593720 4976530 5206216 5971836 6507770 7464795 7809324 7962448 8460101 9187440 9761655 9953060 10412432 11943672 13015540 14929590 15618648 16920202 19523310 19906120 23887344 25380303 26031080 29859180 31237296 33840404 39046620 39812240 42300505 50760606 52062160 59718360 67680808 78093240 84601010 101521212 119436720 126901515 135361616 156186480 169202020 203042424 253803030 338404040 406084848 507606060 676808080 1015212120 2030424240