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2420011140 = 2235292199241
BaseRepresentation
bin1001000000111110…
…0111000010000100
320020122200022012020
42100033213002010
514424010324030
61040045123140
7113653520031
oct22017470204
96218608166
102420011140
111032040208
125765594b0
132c74a4171
1418d58c388
15e26ca510
hex903e7084

2420011140 has 144 divisors (see below), whose sum is σ = 7082275200. Its totient is φ = 617379840.

The previous prime is 2420011129. The next prime is 2420011157. The reversal of 2420011140 is 411100242.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 10041420 + ... + 10041660.

Almost surely, 22420011140 is an apocalyptic number.

2420011140 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 2420011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541137600).

2420011140 is an abundant number, since it is smaller than the sum of its proper divisors (4662264060).

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

2420011140 is a wasteful number, since it uses less digits than its factorization.

2420011140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2420011140 is about 49193.6087312163. The cubic root of 2420011140 is about 1342.5767490081.

Adding to 2420011140 its reverse (411100242), we get a palindrome (2831111382).

The spelling of 2420011140 in words is "two billion, four hundred twenty million, eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 199 241 290 348 398 435 482 580 597 723 796 841 870 964 995 1194 1205 1446 1682 1740 1990 2388 2410 2523 2892 2985 3364 3615 3980 4205 4820 5046 5771 5970 6989 7230 8410 10092 11542 11940 12615 13978 14460 16820 17313 20967 23084 25230 27956 28855 34626 34945 41934 47959 50460 57710 69252 69890 83868 86565 95918 104835 115420 139780 143877 167359 173130 191836 202681 209670 239795 287754 334718 346260 405362 419340 479590 502077 575508 608043 669436 719385 810724 836795 959180 1004154 1013405 1216086 1390811 1438770 1673590 2008308 2026810 2432172 2510385 2781622 2877540 3040215 3347180 4053620 4172433 5020770 5563244 6080430 6954055 8344866 10041540 12160860 13908110 16689732 20862165 27816220 40333519 41724330 80667038 83448660 121000557 161334076 201667595 242001114 403335190 484002228 605002785 806670380 1210005570 2420011140