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542131380 = 22345747807
BaseRepresentation
bin100000010100000…
…100010010110100
31101210010010110000
4200110010102310
52102241201010
6125443431300
716302016650
oct4024042264
91353103400
10542131380
1125902336a
12131685530
1388416acb
1452001a60
15328db7c0
hex205044b4

542131380 has 120 divisors (see below), whose sum is σ = 1943682048. Its totient is φ = 123913152.

The previous prime is 542131327. The next prime is 542131409. The reversal of 542131380 is 83131245.

It is a happy number.

It is a super-3 number, since 3×5421313803 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12564 + ... + 35243.

Almost surely, 2542131380 is an apocalyptic number.

It is an amenable number.

542131380 is an abundant number, since it is smaller than the sum of its proper divisors (1401550668).

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

542131380 is a wasteful number, since it uses less digits than its factorization.

542131380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47835 (or 47824 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 542131380 is about 23283.7149097819. The cubic root of 542131380 is about 815.3952591147.

The spelling of 542131380 in words is "five hundred forty-two million, one hundred thirty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 47807 95614 143421 191228 239035 286842 334649 430263 478070 573684 669298 717105 860526 956140 1003947 1290789 1338596 1434210 1673245 1721052 2007894 2151315 2581578 2868420 3011841 3346490 3872367 4015788 4302630 5019735 5163156 6023682 6453945 6692980 7744734 8605260 9035523 10039470 12047364 12907890 15059205 15489468 18071046 19361835 20078940 25815780 27106569 30118410 36142092 38723670 45177615 54213138 60236820 77447340 90355230 108426276 135532845 180710460 271065690 542131380