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5270009400 = 2332524316793
BaseRepresentation
bin1001110100001110…
…11111011000111000
3111121021110012211100
410322013133120320
541243110300100
62230534331400
7244411224615
oct47207373070
914537405740
105270009400
112264868077
121030ab9b60
1365ca88a76
1437dca950c
1520c9de400
hex13a1df638

5270009400 has 144 divisors (see below), whose sum is σ = 17742123360. Its totient is φ = 1401868800.

The previous prime is 5270009287. The next prime is 5270009429. The reversal of 5270009400 is 49000725.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 772404 + ... + 779196.

It is an arithmetic number, because the mean of its divisors is an integer number (123209190).

Almost surely, 25270009400 is an apocalyptic number.

5270009400 is a gapful number since it is divisible by the number (50) 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 5270009400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8871061680).

5270009400 is an abundant number, since it is smaller than the sum of its proper divisors (12472113960).

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

5270009400 is a wasteful number, since it uses less digits than its factorization.

5270009400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7246 (or 7234 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5270009400 is about 72594.8303944572. The cubic root of 5270009400 is about 1740.2185615267.

The spelling of 5270009400 in words is "five billion, two hundred seventy million, nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 431 450 600 862 900 1293 1724 1800 2155 2586 3448 3879 4310 5172 6465 6793 7758 8620 10344 10775 12930 13586 15516 17240 19395 20379 21550 25860 27172 31032 32325 33965 38790 40758 43100 51720 54344 61137 64650 67930 77580 81516 86200 96975 101895 122274 129300 135860 155160 163032 169825 193950 203790 244548 258600 271720 305685 339650 387900 407580 489096 509475 611370 679300 775800 815160 1018950 1222740 1358600 1528425 2037900 2445480 2927783 3056850 4075800 5855566 6113700 8783349 11711132 12227400 14638915 17566698 23422264 26350047 29277830 35133396 43916745 52700094 58555660 70266792 73194575 87833490 105400188 117111320 131750235 146389150 175666980 210800376 219583725 263500470 292778300 351333960 439167450 527000940 585556600 658751175 878334900 1054001880 1317502350 1756669800 2635004700 5270009400