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420454230 = 235719167631
BaseRepresentation
bin11001000011111…
…001111101010110
31002022011021202220
4121003321331112
51330114013410
6105415443210
713263542040
oct3103717526
91068137686
10420454230
111a6376539
12b8986506
13691536b1
143dbaaa90
1526da4070
hex190f9f56

420454230 has 128 divisors (see below), whose sum is σ = 1223147520. Its totient is φ = 90357120.

The previous prime is 420454219. The next prime is 420454259. The reversal of 420454230 is 32454024.

It is a self number, because there is not a number n which added to its sum of digits gives 420454230.

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 63 ways as a sum of consecutive naturals, for example, 666015 + ... + 666645.

It is an arithmetic number, because the mean of its divisors is an integer number (9555840).

Almost surely, 2420454230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420454230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611573760).

420454230 is an abundant number, since it is smaller than the sum of its proper divisors (802693290).

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

420454230 is a wasteful number, since it uses less digits than its factorization.

420454230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834.

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 420454230 is about 20504.9806144751. The cubic root of 420454230 is about 749.1571153043.

The spelling of 420454230 in words is "four hundred twenty million, four hundred fifty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 167 190 210 266 285 334 399 501 570 631 665 798 835 1002 1169 1262 1330 1670 1893 1995 2338 2505 3155 3173 3507 3786 3990 4417 5010 5845 6310 6346 7014 8834 9465 9519 11690 11989 13251 15865 17535 18930 19038 22085 22211 23978 26502 31730 35070 35967 44170 44422 47595 59945 66255 66633 71934 83923 95190 105377 111055 119890 132510 133266 167846 179835 210754 222110 251769 316131 333165 359670 419615 503538 526885 632262 666330 737639 839230 1053770 1258845 1475278 1580655 2002163 2212917 2517690 3161310 3688195 4004326 4425834 6006489 7376390 10010815 11064585 12012978 14015141 20021630 22129170 28030282 30032445 42045423 60064890 70075705 84090846 140151410 210227115 420454230