Search a number
-
+
542561320 = 23572276817
BaseRepresentation
bin100000010101101…
…101010000101000
31101210220222012201
4200111231100220
52102343430240
6125500545544
716305460300
oct4025552050
91353828181
10542561320
11259297394
121318522b4
1388537702
14520b4600
1532973d9a
hex2056d428

542561320 has 48 divisors (see below), whose sum is σ = 1420076340. Its totient is φ = 186020352.

The previous prime is 542561317. The next prime is 542561363. The reversal of 542561320 is 23165245.

It can be written as a sum of positive squares in 2 ways, for example, as 542051524 + 509796 = 23282^2 + 714^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136449 + ... + 140368.

Almost surely, 2542561320 is an apocalyptic number.

It is an amenable number.

542561320 is an abundant number, since it is smaller than the sum of its proper divisors (877515020).

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

542561320 is a wasteful number, since it uses less digits than its factorization.

542561320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276842 (or 276831 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 542561320 is about 23292.9457132412. The cubic root of 542561320 is about 815.6107532535.

The spelling of 542561320 in words is "five hundred forty-two million, five hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 276817 553634 1107268 1384085 1937719 2214536 2768170 3875438 5536340 7750876 9688595 11072680 13564033 15501752 19377190 27128066 38754380 54256132 67820165 77508760 108512264 135640330 271280660 542561320