Search a number
-
+
405142010 = 257132231489
BaseRepresentation
bin11000001001011…
…111100111111010
31001020100100100122
4120021133213322
51312204021020
6104111333242
713016436020
oct3011374772
91036310318
10405142010
11198768209
12b3821222
1365c21c00
143bb42710
152587c125
hex1825f9fa

405142010 has 96 divisors (see below), whose sum is σ = 942347520. Its totient is φ = 122563584.

The previous prime is 405142009. The next prime is 405142027. The reversal of 405142010 is 10241504.

It is a self number, because there is not a number n which added to its sum of digits gives 405142010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271346 + ... + 272834.

It is an arithmetic number, because the mean of its divisors is an integer number (9816120).

Almost surely, 2405142010 is an apocalyptic number.

405142010 is an abundant number, since it is smaller than the sum of its proper divisors (537205510).

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

405142010 is a wasteful number, since it uses less digits than its factorization.

405142010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 405142010 is about 20128.1397550792. The cubic root of 405142010 is about 739.9500879411.

Adding to 405142010 its reverse (10241504), we get a palindrome (415383514).

It can be divided in two parts, 40514 and 2010, that added together give a palindrome (42524).

The spelling of 405142010 in words is "four hundred five million, one hundred forty-two thousand, ten".

Divisors: 1 2 5 7 10 13 14 23 26 35 46 65 70 91 115 130 161 169 182 230 299 322 338 455 598 805 845 910 1183 1489 1495 1610 1690 2093 2366 2978 2990 3887 4186 5915 7445 7774 10423 10465 11830 14890 19357 19435 20846 20930 27209 34247 38714 38870 52115 54418 68494 96785 104230 135499 136045 171235 193570 239729 251641 270998 272090 342470 445211 479458 503282 677495 890422 1198645 1258205 1354990 1761487 2226055 2397290 2516410 3116477 3522974 4452110 5787743 6232954 8807435 11575486 15582385 17614870 28938715 31164770 40514201 57877430 81028402 202571005 405142010