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542946240 = 2634520947
BaseRepresentation
bin100000010111001…
…011001111000000
31101211122112020000
4200113023033000
52102443234430
6125513120000
716311652434
oct4027131700
91354575200
10542946240
1125952a601
121319b9000
1388640985
14521749c4
15329ece60
hex205cb3c0

542946240 has 140 divisors (see below), whose sum is σ = 1931447496. Its totient is φ = 144778752.

The previous prime is 542946203. The next prime is 542946241. The reversal of 542946240 is 42649245.

542946240 is a `hidden beast` number, since 5 + 4 + 29 + 4 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 542946195 and 542946204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542946241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15447 + ... + 36393.

Almost surely, 2542946240 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 542946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965723748).

542946240 is an abundant number, since it is smaller than the sum of its proper divisors (1388501256).

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

542946240 is a wasteful number, since it uses less digits than its factorization.

542946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20976 (or 20957 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 542946240 is about 23301.2068356984. The cubic root of 542946240 is about 815.8035859442.

The spelling of 542946240 in words is "five hundred forty-two million, nine hundred forty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 20947 25920 41894 62841 83788 104735 125682 167576 188523 209470 251364 314205 335152 377046 418940 502728 565569 628410 670304 754092 837880 942615 1005456 1131138 1256820 1340608 1508184 1675760 1696707 1885230 2010912 2262276 2513640 2827845 3016368 3351520 3393414 3770460 4021824 4524552 5027280 5655690 6032736 6703040 6786828 7540920 8483535 9049104 10054560 11311380 12065472 13573656 15081840 16967070 18098208 20109120 22622760 27147312 30163680 33934140 36196416 45245520 54294624 60327360 67868280 90491040 108589248 135736560 180982080 271473120 542946240