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542120720 = 24531721377
BaseRepresentation
bin100000010100000…
…001101100010000
31101210002120211012
4200110001230100
52102240330340
6125443310052
716301643611
oct4024015420
91353076735
10542120720
11259016359
1213167b328
1388411cbb
1451ddbc08
15328d8565
hex20501b10

542120720 has 40 divisors (see below), whose sum is σ = 1264465944. Its totient is φ = 216154112.

The previous prime is 542120717. The next prime is 542120723. The reversal of 542120720 is 27021245.

It is a happy number.

542120720 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (542120717) and next prime (542120723).

It can be written as a sum of positive squares in 4 ways, for example, as 24285184 + 517835536 = 4928^2 + 22756^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (542120723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14672 + ... + 36048.

Almost surely, 2542120720 is an apocalyptic number.

It is an amenable number.

542120720 is an abundant number, since it is smaller than the sum of its proper divisors (722345224).

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

542120720 is a wasteful number, since it uses less digits than its factorization.

542120720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21707 (or 21701 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 542120720 is about 23283.4859932958. The cubic root of 542120720 is about 815.3899146720.

Adding to 542120720 its reverse (27021245), we get a palindrome (569141965).

The spelling of 542120720 in words is "five hundred forty-two million, one hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 317 634 1268 1585 2536 3170 5072 6340 12680 21377 25360 42754 85508 106885 171016 213770 342032 427540 855080 1710160 6776509 13553018 27106036 33882545 54212072 67765090 108424144 135530180 271060360 542120720