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542123540 = 225717213399
BaseRepresentation
bin100000010100000…
…010011000010100
31101210002201200122
4200110002120110
52102240423130
6125443331112
716301655050
oct4024023024
91353081618
10542123540
11259018492
12131680a98
138841337a
1451ddcc60
15328d92e5
hex20502614

542123540 has 72 divisors (see below), whose sum is σ = 1382236800. Its totient is φ = 174924288.

The previous prime is 542123539. The next prime is 542123551. The reversal of 542123540 is 45321245.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33761 + ... + 47159.

Almost surely, 2542123540 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 542123540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691118400).

542123540 is an abundant number, since it is smaller than the sum of its proper divisors (840113260).

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

542123540 is a wasteful number, since it uses less digits than its factorization.

542123540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13449 (or 13430 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 542123540 is about 23283.5465511593. The cubic root of 542123540 is about 815.3913284995.

Adding to 542123540 its reverse (45321245), we get a palindrome (587444785).

The spelling of 542123540 in words is "five hundred forty-two million, one hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 289 340 476 578 595 1156 1190 1445 2023 2380 2890 4046 5780 8092 10115 13399 20230 26798 40460 53596 66995 93793 133990 187586 227783 267980 375172 455566 468965 911132 937930 1138915 1594481 1875860 2277830 3188962 3872311 4555660 6377924 7744622 7972405 15489244 15944810 19361555 27106177 31889620 38723110 54212354 77446220 108424708 135530885 271061770 542123540