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405282130 = 251141731231
BaseRepresentation
bin11000001010000…
…001110101010010
31001020121110120021
4120022001311102
51312223012010
6104114334054
713020561361
oct3012016522
91036543507
10405282130
11198853510
12b388a32a
1365c70916
143bb7b7d8
15258a88da
hex18281d52

405282130 has 64 divisors (see below), whose sum is σ = 827076096. Its totient is φ = 141696000.

The previous prime is 405282107. The next prime is 405282133. The reversal of 405282130 is 31282504.

It is a junction number, because it is equal to n+sod(n) for n = 405282095 and 405282104.

It is not an unprimeable number, because it can be changed into a prime (405282133) 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 31 ways as a sum of consecutive naturals, for example, 328615 + ... + 329845.

It is an arithmetic number, because the mean of its divisors is an integer number (12923064).

Almost surely, 2405282130 is an apocalyptic number.

405282130 is an abundant number, since it is smaller than the sum of its proper divisors (421793966).

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

405282130 is a wasteful number, since it uses less digits than its factorization.

405282130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363.

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 405282130 is about 20131.6201533806. The cubic root of 405282130 is about 740.0353830172.

The spelling of 405282130 in words is "four hundred five million, two hundred eighty-two thousand, one hundred thirty".

Divisors: 1 2 5 10 11 22 41 55 73 82 110 146 205 365 410 451 730 803 902 1231 1606 2255 2462 2993 4015 4510 5986 6155 8030 12310 13541 14965 27082 29930 32923 50471 65846 67705 89863 100942 135410 164615 179726 252355 329230 449315 504710 555181 898630 988493 1110362 1976986 2775905 3684383 4942465 5551810 7368766 9884930 18421915 36843830 40528213 81056426 202641065 405282130