Search a number
-
+
542037180 = 2235172232383
BaseRepresentation
bin100000010011101…
…101010010111100
31101202221100020010
4200103231102330
52102230142210
6125441423220
716301145216
oct4023552274
91352840203
10542037180
11258a69613
1213163ab10
13883b2c79
1451db95b6
15328bd920
hex204ed4bc

542037180 has 96 divisors (see below), whose sum is σ = 1614864384. Its totient is φ = 135373824.

The previous prime is 542037151. The next prime is 542037193. The reversal of 542037180 is 81730245.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226269 + ... + 228651.

It is an arithmetic number, because the mean of its divisors is an integer number (16821504).

Almost surely, 2542037180 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 542037180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807432192).

542037180 is an abundant number, since it is smaller than the sum of its proper divisors (1072827204).

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

542037180 is a wasteful number, since it uses less digits than its factorization.

542037180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 542037180 is about 23281.6919488254. The cubic root of 542037180 is about 815.3480290610.

The spelling of 542037180 in words is "five hundred forty-two million, thirty-seven thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 223 255 340 446 510 669 892 1020 1115 1338 2230 2383 2676 3345 3791 4460 4766 6690 7149 7582 9532 11373 11915 13380 14298 15164 18955 22746 23830 28596 35745 37910 40511 45492 47660 56865 71490 75820 81022 113730 121533 142980 162044 202555 227460 243066 405110 486132 531409 607665 810220 1062818 1215330 1594227 2125636 2430660 2657045 3188454 5314090 6376908 7971135 9033953 10628180 15942270 18067906 27101859 31884540 36135812 45169765 54203718 90339530 108407436 135509295 180679060 271018590 542037180