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420361662 = 237192337619
BaseRepresentation
bin11001000011100…
…011010110111110
31002021222120210110
4121003203112332
51330103033122
6105413450450
713263005130
oct3103432676
91067876713
10420361662
111a6312a36
12b8940a26
1369120516
143db85050
1526d8690c
hex190e35be

420361662 has 128 divisors (see below), whose sum is σ = 1085644800. Its totient is φ = 105722496.

The previous prime is 420361651. The next prime is 420361663. The reversal of 420361662 is 266163024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420361663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 678789 + ... + 679407.

It is an arithmetic number, because the mean of its divisors is an integer number (8481600).

Almost surely, 2420361662 is an apocalyptic number.

420361662 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 420361662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542822400).

420361662 is an abundant number, since it is smaller than the sum of its proper divisors (665283138).

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

420361662 is a wasteful number, since it uses less digits than its factorization.

420361662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 420361662 is about 20502.7232825301. The cubic root of 420361662 is about 749.1021326523.

The spelling of 420361662 in words is "four hundred twenty million, three hundred sixty-one thousand, six hundred sixty-two".

Divisors: 1 2 3 6 7 14 19 21 23 37 38 42 46 57 69 74 111 114 133 138 161 222 259 266 322 399 437 483 518 619 703 777 798 851 874 966 1238 1311 1406 1554 1702 1857 2109 2553 2622 3059 3714 4218 4333 4921 5106 5957 6118 8666 9177 9842 11761 11914 12999 14237 14763 16169 17871 18354 22903 23522 25998 28474 29526 32338 35283 35742 42711 45806 48507 68709 70566 82327 85422 97014 99659 113183 137418 160321 164654 199318 226366 246981 270503 298977 320642 339549 435157 480963 493962 526769 541006 597954 679098 811509 870314 961926 1053538 1305471 1580307 1623018 1893521 2610942 3046099 3160614 3687383 3787042 5680563 6092198 7374766 9138297 10008611 11062149 11361126 18276594 20017222 22124298 30025833 60051666 70060277 140120554 210180831 420361662