Search a number
-
+
542014640 = 24529307761
BaseRepresentation
bin100000010011100…
…111110010110000
31101202220012022022
4200103213302300
52102223432030
6125441131012
716301022416
oct4023476260
91352805268
10542014640
11258a53692
12131629a68
13883a592b
1451db12b6
15328b6de5
hex204e7cb0

542014640 has 80 divisors (see below), whose sum is σ = 1309603680. Its totient is φ = 208373760.

The previous prime is 542014637. The next prime is 542014673. The reversal of 542014640 is 46410245.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 711860 + ... + 712620.

It is an arithmetic number, because the mean of its divisors is an integer number (16370046).

Almost surely, 2542014640 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 542014640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654801840).

542014640 is an abundant number, since it is smaller than the sum of its proper divisors (767589040).

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

542014640 is a wasteful number, since it uses less digits than its factorization.

542014640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 542014640 is about 23281.2078724451. The cubic root of 542014640 is about 815.3367271307.

Adding to 542014640 its reverse (46410245), we get a palindrome (588424885).

The spelling of 542014640 in words is "five hundred forty-two million, fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 307 464 580 614 761 1160 1228 1522 1535 2320 2456 3044 3070 3805 4912 6088 6140 7610 8903 12176 12280 15220 17806 22069 24560 30440 35612 44138 44515 60880 71224 88276 89030 110345 142448 176552 178060 220690 233627 353104 356120 441380 467254 712240 882760 934508 1168135 1765520 1869016 2336270 3738032 4672540 6775183 9345080 13550366 18690160 27100732 33875915 54201464 67751830 108402928 135503660 271007320 542014640