Search a number
-
+
5401242320 = 245594792389
BaseRepresentation
bin1010000011111000…
…00110101011010000
3111221102101112112212
411001330012223100
542030204223240
62251543211252
7250563542105
oct50174065320
914842345485
105401242320
112321951331
121068a46b28
13681016796
143934aaaac
152192b3165
hex141f06ad0

5401242320 has 80 divisors (see below), whose sum is σ = 12802752000. Its totient is φ = 2118557184.

The previous prime is 5401242307. The next prime is 5401242389. The reversal of 5401242320 is 232421045.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2259686 + ... + 2262074.

It is an arithmetic number, because the mean of its divisors is an integer number (160034400).

Almost surely, 25401242320 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 5401242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401376000).

5401242320 is an abundant number, since it is smaller than the sum of its proper divisors (7401509680).

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

5401242320 is a wasteful number, since it uses less digits than its factorization.

5401242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 5401242320 is about 73493.1447143201. The cubic root of 5401242320 is about 1754.5451720827.

Adding to 5401242320 its reverse (232421045), we get a palindrome (5633663365).

The spelling of 5401242320 in words is "five billion, four hundred one million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 479 590 944 958 1180 1916 2360 2389 2395 3832 4720 4778 4790 7664 9556 9580 11945 19112 19160 23890 28261 38224 38320 47780 56522 95560 113044 140951 141305 191120 226088 281902 282610 452176 563804 565220 704755 1127608 1130440 1144331 1409510 2255216 2260880 2288662 2819020 4577324 5638040 5721655 9154648 11276080 11443310 18309296 22886620 45773240 67515529 91546480 135031058 270062116 337577645 540124232 675155290 1080248464 1350310580 2700621160 5401242320