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542590180 = 2251110124419
BaseRepresentation
bin100000010101110…
…100010011100100
31101210222102210121
4200111310103210
52102400341210
6125501331324
716305640366
oct4025642344
91353872717
10542590180
11259307040
12131866b44
13885478a2
14520c0d36
153297c6da
hex205744e4

542590180 has 48 divisors (see below), whose sum is σ = 1255383360. Its totient is φ = 195344000.

The previous prime is 542590177. The next prime is 542590199. The reversal of 542590180 is 81095245.

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, 10011 + ... + 34429.

It is an arithmetic number, because the mean of its divisors is an integer number (26153820).

Almost surely, 2542590180 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 542590180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627691680).

542590180 is an abundant number, since it is smaller than the sum of its proper divisors (712793180).

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

542590180 is a wasteful number, since it uses less digits than its factorization.

542590180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24540 (or 24538 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 542590180 is about 23293.5652058675. The cubic root of 542590180 is about 815.6252143587.

The spelling of 542590180 in words is "five hundred forty-two million, five hundred ninety thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 24419 48838 97676 122095 244190 268609 488380 537218 1074436 1343045 2466319 2686090 4932638 5372180 9865276 12331595 24663190 27129509 49326380 54259018 108518036 135647545 271295090 542590180