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5340561240 = 233576357811
BaseRepresentation
bin1001111100101001…
…00111111101011000
3111210012012121202110
410332110213331120
541414140424430
62241534432320
7246226010250
oct47624477530
914705177673
105340561240
1122a0675783
1210506626a0
1367158b811
143893d2960
15213cc87b0
hex13e527f58

5340561240 has 64 divisors (see below), whose sum is σ = 18310498560. Its totient is φ = 1220699520.

The previous prime is 5340561221. The next prime is 5340561251. The reversal of 5340561240 is 421650435.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5340561198 and 5340561207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3178066 + ... + 3179745.

It is an arithmetic number, because the mean of its divisors is an integer number (286101540).

Almost surely, 25340561240 is an apocalyptic number.

It is an amenable number.

5340561240 is an abundant number, since it is smaller than the sum of its proper divisors (12969937320).

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

5340561240 is a wasteful number, since it uses less digits than its factorization.

5340561240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6357832 (or 6357828 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5340561240 is about 73079.1436731438. The cubic root of 5340561240 is about 1747.9498429509.

It can be divided in two parts, 5340 and 561240, that added together give a triangular number (566580 = T1064).

The spelling of 5340561240 in words is "five billion, three hundred forty million, five hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 6357811 12715622 19073433 25431244 31789055 38146866 44504677 50862488 63578110 76293732 89009354 95367165 127156220 133514031 152587464 178018708 190734330 222523385 254312440 267028062 356037416 381468660 445046770 534056124 667570155 762937320 890093540 1068112248 1335140310 1780187080 2670280620 5340561240