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542153640 = 23357292203
BaseRepresentation
bin100000010100001…
…001101110101000
31101210011020222110
4200110021232220
52102242404030
6125444122320
716302141600
oct4024115650
91353136873
10542153640
11259039066
121316963a0
1388423c92
1452009c00
15328e31b0
hex20509ba8

542153640 has 96 divisors (see below), whose sum is σ = 1892026080. Its totient is φ = 123919488.

The previous prime is 542153627. The next prime is 542153641. The reversal of 542153640 is 46351245.

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

It is a junction number, because it is equal to n+sod(n) for n = 542153598 and 542153607.

It is not an unprimeable number, because it can be changed into a prime (542153641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 40222 + ... + 51981.

It is an arithmetic number, because the mean of its divisors is an integer number (19708605).

Almost surely, 2542153640 is an apocalyptic number.

It is an amenable number.

542153640 is an abundant number, since it is smaller than the sum of its proper divisors (1349872440).

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

542153640 is a wasteful number, since it uses less digits than its factorization.

542153640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92231 (or 92220 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 542153640 is about 23284.1929213791. The cubic root of 542153640 is about 815.4064190480.

The spelling of 542153640 in words is "five hundred forty-two million, one hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 92203 184406 276609 368812 461015 553218 645421 737624 922030 1106436 1290842 1383045 1844060 1936263 2212872 2581684 2766090 3227105 3688120 3872526 4517947 5163368 5532180 6454210 7745052 9035894 9681315 11064360 12908420 13553841 15490104 18071788 19362630 22589735 25816840 27107682 36143576 38725260 45179470 54215364 67769205 77450520 90358940 108430728 135538410 180717880 271076820 542153640