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542312010 = 23456071103
BaseRepresentation
bin100000010100110…
…000011001001010
31101210110022020000
4200110300121022
52102312441020
6125451343430
716303401402
oct4024603112
91353408200
10542312010
11259137049
12131751b76
138847b0a6
145204b802
1532925090
hex2053064a

542312010 has 80 divisors (see below), whose sum is σ = 1461943296. Its totient is φ = 144247392.

The previous prime is 542311993. The next prime is 542312033. The reversal of 542312010 is 10213245.

542312010 is a `hidden beast` number, since 542 + 3 + 120 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 491119 + ... + 492221.

Almost surely, 2542312010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542312010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730971648).

542312010 is an abundant number, since it is smaller than the sum of its proper divisors (919631286).

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

542312010 is a wasteful number, since it uses less digits than its factorization.

542312010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 542312010 is about 23287.5934780733. The cubic root of 542312010 is about 815.4858081934.

Adding to 542312010 its reverse (10213245), we get a palindrome (552525255).

The spelling of 542312010 in words is "five hundred forty-two million, three hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 607 810 1103 1214 1821 2206 3035 3309 3642 5463 5515 6070 6618 9105 9927 10926 11030 16389 16545 18210 19854 27315 29781 32778 33090 49167 49635 54630 59562 81945 89343 98334 99270 148905 163890 178686 245835 297810 446715 491670 669521 893430 1339042 2008563 3347605 4017126 6025689 6695210 10042815 12051378 18077067 20085630 30128445 36154134 54231201 60256890 90385335 108462402 180770670 271156005 542312010