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542172420 = 223356911453
BaseRepresentation
bin100000010100001…
…110010100000100
31101210012012202000
4200110032110010
52102244004140
6125444345300
716302250416
oct4024162404
91353165660
10542172420
11259051189
121316a5230
138842c6aa
14520129b6
15328e8a30
hex2050e504

542172420 has 96 divisors (see below), whose sum is σ = 1690362240. Its totient is φ = 144270720.

The previous prime is 542172383. The next prime is 542172427. The reversal of 542172420 is 24271245.

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

It is not an unprimeable number, because it can be changed into a prime (542172427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372414 + ... + 373866.

It is an arithmetic number, because the mean of its divisors is an integer number (17607940).

Almost surely, 2542172420 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 542172420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845181120).

542172420 is an abundant number, since it is smaller than the sum of its proper divisors (1148189820).

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

542172420 is a wasteful number, since it uses less digits than its factorization.

542172420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 542172420 is about 23284.5961957686. The cubic root of 542172420 is about 815.4158340641.

It can be divided in two parts, 5421 and 72420, that added together give a square (77841 = 2792).

The spelling of 542172420 in words is "five hundred forty-two million, one hundred seventy-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 691 1382 1453 2073 2764 2906 3455 4146 4359 5812 6219 6910 7265 8292 8718 10365 12438 13077 13820 14530 17436 18657 20730 21795 24876 26154 29060 31095 37314 39231 41460 43590 52308 62190 65385 74628 78462 87180 93285 124380 130770 156924 186570 196155 261540 373140 392310 784620 1004023 2008046 3012069 4016092 5020115 6024138 9036207 10040230 12048276 15060345 18072414 20080460 27108621 30120690 36144828 45181035 54217242 60241380 90362070 108434484 135543105 180724140 271086210 542172420