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642173130 = 233517139907
BaseRepresentation
bin100110010001101…
…100100011001010
31122202100202221000
4212101230203022
52303344020010
6143415555430
721625244604
oct4621544312
91582322830
10642173130
112aa5431a5
1215b08bb76
13a3073601
1461404174
153b59d7c0
hex2646c8ca

642173130 has 64 divisors (see below), whose sum is σ = 1813207680. Its totient is φ = 161171712.

The previous prime is 642173111. The next prime is 642173131. The reversal of 642173130 is 31371246.

642173130 is a `hidden beast` number, since 642 + 1 + 7 + 3 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 642173094 and 642173103.

It is not an unprimeable number, because it can be changed into a prime (642173131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65364 + ... + 74543.

It is an arithmetic number, because the mean of its divisors is an integer number (28331370).

Almost surely, 2642173130 is an apocalyptic number.

642173130 is an abundant number, since it is smaller than the sum of its proper divisors (1171034550).

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

642173130 is a wasteful number, since it uses less digits than its factorization.

642173130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139940 (or 139934 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 642173130 is about 25341.1351363746. The cubic root of 642173130 is about 862.7481629949.

The spelling of 642173130 in words is "six hundred forty-two million, one hundred seventy-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 139907 279814 419721 699535 839442 1259163 1399070 2098605 2378419 2518326 3777489 4197210 4756838 6295815 7135257 7554978 11892095 12591630 14270514 18887445 21405771 23784190 35676285 37774890 42811542 64217313 71352570 107028855 128434626 214057710 321086565 642173130