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2420441400 = 2335213310313
BaseRepresentation
bin1001000001000101…
…0000000100111000
320020200111011101210
42100101100010320
514424113111100
61040102243120
7113660261316
oct22021200470
96220434353
102420441400
1110323044a3
125767264a0
132c75c4c60
1418d6610b6
15e2762c50
hex90450138

2420441400 has 96 divisors (see below), whose sum is σ = 8080576560. Its totient is φ = 595799040.

The previous prime is 2420441399. The next prime is 2420441411. The reversal of 2420441400 is 41440242.

It is a super-3 number, since 3×24204414003 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147357 + ... + 162956.

Almost surely, 22420441400 is an apocalyptic number.

2420441400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420441400 is an abundant number, since it is smaller than the sum of its proper divisors (5660135160).

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

2420441400 is a wasteful number, since it uses less digits than its factorization.

2420441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310345 (or 310336 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2420441400 is about 49197.9816659180. The cubic root of 2420441400 is about 1342.6563110166.

Adding to 2420441400 its reverse (41440242), we get a palindrome (2461881642).

The spelling of 2420441400 in words is "two billion, four hundred twenty million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 310313 620626 930939 1241252 1551565 1861878 2482504 3103130 3723756 4034069 4654695 6206260 7447512 7757825 8068138 9309390 12102207 12412520 15515650 16136276 18618780 20170345 23273475 24204414 31031300 32272552 37237560 40340690 46546950 48408828 60511035 62062600 80681380 93093900 96817656 100851725 121022070 161362760 186187800 201703450 242044140 302555175 403406900 484088280 605110350 806813800 1210220700 2420441400