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542676080 = 245311271723
BaseRepresentation
bin100000010110001…
…001010001110000
31101211010210122002
4200112021101300
52102411113310
6125503233132
716306446002
oct4026112160
91354123562
10542676080
11259365631
121318a87a8
1388577a0b
1452104372
1532997da5
hex20589470

542676080 has 80 divisors (see below), whose sum is σ = 1313439744. Its totient is φ = 208293120.

The previous prime is 542676061. The next prime is 542676089. The reversal of 542676080 is 80676245.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542676089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314099 + ... + 315821.

Almost surely, 2542676080 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 542676080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656719872).

542676080 is an abundant number, since it is smaller than the sum of its proper divisors (770763664).

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

542676080 is a wasteful number, since it uses less digits than its factorization.

542676080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 542676080 is about 23295.4089897559. The cubic root of 542676080 is about 815.6682539071.

The spelling of 542676080 in words is "five hundred forty-two million, six hundred seventy-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 127 155 248 254 310 496 508 620 635 1016 1240 1270 1723 2032 2480 2540 3446 3937 5080 6892 7874 8615 10160 13784 15748 17230 19685 27568 31496 34460 39370 53413 62992 68920 78740 106826 137840 157480 213652 218821 267065 314960 427304 437642 534130 854608 875284 1068260 1094105 1750568 2136520 2188210 3501136 4273040 4376420 6783451 8752840 13566902 17505680 27133804 33917255 54267608 67834510 108535216 135669020 271338040 542676080