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542000140 = 225112297723
BaseRepresentation
bin100000010011100…
…100010000001100
31101202212110102021
4200103210100030
52102223001030
6125440535524
716300632223
oct4023442014
91352773367
10542000140
11258a43800
121316215a4
138839c156
1451da9cba
15328b297a
hex204e440c

542000140 has 72 divisors (see below), whose sum is σ = 1294387920. Its totient is φ = 190270080.

The previous prime is 542000077. The next prime is 542000143. The reversal of 542000140 is 41000245.

It is not an unprimeable number, because it can be changed into a prime (542000143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66319 + ... + 74041.

It is an arithmetic number, because the mean of its divisors is an integer number (17977610).

Almost surely, 2542000140 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 542000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647193960).

542000140 is an abundant number, since it is smaller than the sum of its proper divisors (752387780).

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

542000140 is a wasteful number, since it uses less digits than its factorization.

542000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7783 (or 7770 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 542000140 is about 23280.8964604029. The cubic root of 542000140 is about 815.3294564242.

Adding to 542000140 its reverse (41000245), we get a palindrome (583000385).

The spelling of 542000140 in words is "five hundred forty-two million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 121 145 220 242 290 319 484 580 605 638 1210 1276 1595 2420 3190 3509 6380 7018 7723 14036 15446 17545 30892 35090 38615 70180 77230 84953 154460 169906 223967 339812 424765 447934 849530 895868 934483 1119835 1699060 1868966 2239670 2463637 3737932 4479340 4672415 4927274 9344830 9854548 12318185 18689660 24636370 27100007 49272740 54200014 108400028 135500035 271000070 542000140