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1542540330 = 232567491521
BaseRepresentation
bin101101111110001…
…0100110000101010
310222111120011112100
41123330110300222
511124342242310
6413021554230
753140243062
oct13374246052
93874504470
101542540330
117217a6421
12370715976
131b7768176
14108c183a2
159064dec0
hex5bf14c2a

1542540330 has 96 divisors (see below), whose sum is σ = 4086583488. Its totient is φ = 403603200.

The previous prime is 1542540317. The next prime is 1542540331. The reversal of 1542540330 is 330452451.

1542540330 is digitally balanced in base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1542540294 and 1542540303.

It is not an unprimeable number, because it can be changed into a prime (1542540331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2960470 + ... + 2960990.

It is an arithmetic number, because the mean of its divisors is an integer number (42568578).

Almost surely, 21542540330 is an apocalyptic number.

1542540330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1542540330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043291744).

1542540330 is an abundant number, since it is smaller than the sum of its proper divisors (2544043158).

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

1542540330 is a wasteful number, since it uses less digits than its factorization.

1542540330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1542540330 is about 39275.1872051554. The cubic root of 1542540330 is about 1155.4349741899.

Adding to 1542540330 its reverse (330452451), we get a palindrome (1872992781).

It can be divided in two parts, 15425 and 40330, that added together give a palindrome (55755).

The spelling of 1542540330 in words is "one billion, five hundred forty-two million, five hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 491 521 603 670 982 1005 1042 1206 1473 1563 2010 2455 2605 2946 3015 3126 4419 4689 4910 5210 6030 7365 7815 8838 9378 14730 15630 22095 23445 32897 34907 44190 46890 65794 69814 98691 104721 164485 174535 197382 209442 255811 296073 314163 328970 349070 493455 511622 523605 592146 628326 767433 986910 1047210 1279055 1480365 1534866 1570815 2302299 2558110 2960730 3141630 3837165 4604598 7674330 11511495 17139337 23022990 34278674 51418011 85696685 102836022 154254033 171393370 257090055 308508066 514180110 771270165 1542540330