Search a number
-
+
5430700240 = 245731330983
BaseRepresentation
bin1010000111011000…
…11110100011010000
3112000110211011012221
411003230132203100
542110224401430
62254514430424
7251402122210
oct50354364320
915013734187
105430700240
112337541519
121076892414
1368715bac4
14397378240
1521bb8157a
hex143b1e8d0

5430700240 has 80 divisors (see below), whose sum is σ = 14476716288. Its totient is φ = 1855945728.

The previous prime is 5430700229. The next prime is 5430700243. The reversal of 5430700240 is 420070345.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430700243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159789 + ... + 190771.

Almost surely, 25430700240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5430700240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238358144).

5430700240 is an abundant number, since it is smaller than the sum of its proper divisors (9046016048).

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

5430700240 is a wasteful number, since it uses less digits than its factorization.

5430700240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31316 (or 31310 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 5430700240 is about 73693.2849043927. The cubic root of 5430700240 is about 1757.7291045681.

Adding to 5430700240 its reverse (420070345), we get a palindrome (5850770585).

The spelling of 5430700240 in words is "five billion, four hundred thirty million, seven hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 313 560 626 1252 1565 2191 2504 3130 4382 5008 6260 8764 10955 12520 17528 21910 25040 30983 35056 43820 61966 87640 123932 154915 175280 216881 247864 309830 433762 495728 619660 867524 1084405 1239320 1735048 2168810 2478640 3470096 4337620 8675240 9697679 17350480 19395358 38790716 48488395 67883753 77581432 96976790 135767506 155162864 193953580 271535012 339418765 387907160 543070024 678837530 775814320 1086140048 1357675060 2715350120 5430700240