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5340111400 = 23521317120817
BaseRepresentation
bin1001111100100101…
…11010001000101000
3111210011100202200201
410332102322020220
541414032031100
62241521041544
7246222124621
oct47622721050
914704322621
105340111400
1122a0398808
1210504862b4
13671461b40
14389316a48
15213c3a36a
hex13e4ba228

5340111400 has 96 divisors (see below), whose sum is σ = 14157453240. Its totient is φ = 1855733760.

The previous prime is 5340111373. The next prime is 5340111421. The reversal of 5340111400 is 41110435.

It can be written as a sum of positive squares in 12 ways, for example, as 583802244 + 4756309156 = 24162^2 + 68966^2 .

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, 16209 + ... + 104608.

Almost surely, 25340111400 is an apocalyptic number.

5340111400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5340111400 is an abundant number, since it is smaller than the sum of its proper divisors (8817341840).

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

5340111400 is a wasteful number, since it uses less digits than its factorization.

5340111400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120863 (or 120854 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 5340111400 is about 73076.0658492232. The cubic root of 5340111400 is about 1747.9007644740.

Adding to 5340111400 its reverse (41110435), we get a palindrome (5381221835).

The spelling of 5340111400 in words is "five billion, three hundred forty million, one hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 130 136 170 200 221 260 325 340 425 442 520 650 680 850 884 1105 1300 1700 1768 2210 2600 3400 4420 5525 8840 11050 22100 44200 120817 241634 483268 604085 966536 1208170 1570621 2053889 2416340 3020425 3141242 4107778 4832680 6040850 6282484 7853105 8215556 10269445 12081700 12564968 15706210 16431112 20538890 24163400 26700557 31412420 39265525 41077780 51347225 53401114 62824840 78531050 82155560 102694450 106802228 133502785 157062100 205388900 213604456 267005570 314124200 410777800 534011140 667513925 1068022280 1335027850 2670055700 5340111400