Search a number
-
+
546333040 = 245116011033
BaseRepresentation
bin100000100100000…
…110000101110000
31102002000121001001
4200210012011300
52104330124130
6130113451344
716352516461
oct4044060560
91362017031
10546333040
11260433110
12132b70b54
13892583b6
14527b6d68
1532e6b6ca
hex20906170

546333040 has 80 divisors (see below), whose sum is σ = 1389348576. Its totient is φ = 198144000.

The previous prime is 546333023. The next prime is 546333061. The reversal of 546333040 is 40333645.

546333040 is a nontrivial binomial coefficient, being equal to C(33056, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528364 + ... + 529396.

Almost surely, 2546333040 is an apocalyptic number.

546333040 is the 33055-th triangular number and also the 16528-th hexagonal number.

546333040 is the 11019-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 546333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694674288).

546333040 is an abundant number, since it is smaller than the sum of its proper divisors (843015536).

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

546333040 is a wasteful number, since it uses less digits than its factorization.

546333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 546333040 is about 23373.7682028380. The cubic root of 546333040 is about 817.4963492747.

Adding to 546333040 its reverse (40333645), we get a palindrome (586666685).

It can be divided in two parts, 5463 and 33040, that added together give a triangular number (38503 = T277).

The spelling of 546333040 in words is "five hundred forty-six million, three hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 601 880 1033 1202 2066 2404 3005 4132 4808 5165 6010 6611 8264 9616 10330 11363 12020 13222 16528 20660 22726 24040 26444 33055 41320 45452 48080 52888 56815 66110 82640 90904 105776 113630 132220 181808 227260 264440 454520 528880 620833 909040 1241666 2483332 3104165 4966664 6208330 6829163 9933328 12416660 13658326 24833320 27316652 34145815 49666640 54633304 68291630 109266608 136583260 273166520 546333040