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542040330 = 235137379241
BaseRepresentation
bin100000010011101…
…110000100001010
31101202221111112210
4200103232010022
52102230242310
6125441445550
716301160336
oct4023560412
91352844483
10542040330
11258a70a17
121316408b6
13883b4530
1451dba7c6
15328be820
hex204ee10a

542040330 has 128 divisors (see below), whose sum is σ = 1444101120. Its totient is φ = 129392640.

The previous prime is 542040319. The next prime is 542040337. The reversal of 542040330 is 33040245.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 542040297 and 542040306.

It is not an unprimeable number, because it can be changed into a prime (542040337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2249010 + ... + 2249250.

It is an arithmetic number, because the mean of its divisors is an integer number (11282040).

Almost surely, 2542040330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542040330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722050560).

542040330 is an abundant number, since it is smaller than the sum of its proper divisors (902060790).

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

542040330 is a wasteful number, since it uses less digits than its factorization.

542040330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416.

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 542040330 is about 23281.7595984496. The cubic root of 542040330 is about 815.3496084983.

Adding to 542040330 its reverse (33040245), we get a palindrome (575080575).

The spelling of 542040330 in words is "five hundred forty-two million, forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 73 78 79 130 146 158 195 219 237 241 365 390 395 438 474 482 723 730 790 949 1027 1095 1185 1205 1446 1898 2054 2190 2370 2410 2847 3081 3133 3615 4745 5135 5694 5767 6162 6266 7230 9399 9490 10270 11534 14235 15405 15665 17301 17593 18798 19039 28470 28835 30810 31330 34602 35186 38078 46995 52779 57117 57670 74971 86505 87965 93990 95195 105558 114234 149942 173010 175930 190390 224913 228709 247507 263895 285585 374855 449826 457418 495014 527790 571170 686127 742521 749710 1124565 1143545 1237535 1372254 1389847 1485042 2249130 2287090 2475070 2779694 3430635 3712605 4169541 6861270 6949235 7425210 8339082 13898470 18068011 20847705 36136022 41695410 54204033 90340055 108408066 180680110 271020165 542040330