Search a number
-
+
5431740000 = 2535490529
BaseRepresentation
bin1010000111100000…
…11100011001100000
3112000112202222111120
411003300130121200
542111011140000
62254553012240
7251414012451
oct50360343140
915015688446
105431740000
112338091725
1210770b4080
1368743414b
14397569128
1521bcd96a0
hex143c1c660

5431740000 has 120 divisors (see below), whose sum is σ = 17817390360. Its totient is φ = 1448448000.

The previous prime is 5431739977. The next prime is 5431740001. The reversal of 5431740000 is 471345.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5431740001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14736 + ... + 105264.

It is an arithmetic number, because the mean of its divisors is an integer number (148478253).

Almost surely, 25431740000 is an apocalyptic number.

5431740000 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 5431740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8908695180).

5431740000 is an abundant number, since it is smaller than the sum of its proper divisors (12385650360).

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

5431740000 is an equidigital number, since it uses as much as digits as its factorization.

5431740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90562 (or 90539 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 5431740000 is about 73700.3392122451. The cubic root of 5431740000 is about 1757.8412754796.

It can be divided in two parts, 54 and 31740000, that multiplied together give a square (1713960000 = 414002).

The spelling of 5431740000 in words is "five billion, four hundred thirty-one million, seven hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 90529 181058 271587 362116 452645 543174 724232 905290 1086348 1357935 1448464 1810580 2172696 2263225 2715870 2896928 3621160 4345392 4526450 5431740 6789675 7242320 8690784 9052900 10863480 11316125 13579350 14484640 18105800 21726960 22632250 27158700 33948375 36211600 43453920 45264500 54317400 56580625 67896750 72423200 90529000 108634800 113161250 135793500 169741875 181058000 217269600 226322500 271587000 339483750 362116000 452645000 543174000 678967500 905290000 1086348000 1357935000 1810580000 2715870000 5431740000